Nonlinear Dynamics and Applications : Proceedings of the ICNDA 2022

Contents Contributors Nonlinear Waves and Plasma Dynamics Offset Bipolar Pulses in Magnetospheric Plasma Systems 1 Introduction 2 Analytical Concept 3 Physical Properties of FTSW and ofbp 4 Conclusion References Forced KdV Equation in Degenerate Relativistic Quantum Plasma 1 Introduction 2 Basic Fluid Equations 3 Forced KdV Equation and Its Solution 4 Parametric Analysis 5 Conclusions References Heliospheric Two Stream Instability with Degenerate Electron Plasma 1 Introduction 2 Finite Temperature Quantum Hydrodynamic Model 3 Linear Dispersion Relation and Instability Criteria 4 Analytic Results and It's Physical Interpretations 5 Conclusion References Bifurcation of Nucleus-Acoustic Superperiodic and Supersolitary Waves in a Quantum Plasma 1 Introduction 2 Normalised Basic Equations 3 Planar Dynamical System (PDS) 4 Phase Plots 5 Conclusion References Effect of q Parameter and Critical Beam Radius on Propagation Dynamics of q Gaussian Beam in Cold Quantum Plasma 1 Introduction 2 Basic Formulation 3 Result and Discussion 4 Conclusion References Study of Quantum-Electron Acoustic Solitary Structures in Fermi Plasma with Two Temperature Electrons 1 Introduction 2 Basic Equations 2.1 Continuity Equations for Hot and Cold Electrons 2.2 Momentum Equations 2.3 Poisson's Equation 2.4 The Pressure Law 3 Linear Dispersion Relation 4 Derivation of KDV Equation 5 Simulation Results 5.1 Interaction of Solitary Structures 5.2 Breakdown of Stationary Structures 6 Dynamical Study of Electron Acoustic KdV Solitons 6.1 Unperturbed System 6.2 Perturbed System 7 Conclusion References Motion of Adiabatic or Isothermal Flow Headed by a Magnetogasdynamic Cylindrical Shock Through Rotating Dusty Gas 1 Introduction 2 Governing Equations—Adiabatic Flow 3 Self-similarity Transformations 4 Isothermal Flow 5 Results and Discussion 5.1 Efficacy of the Existence of the Magnetic Field Is as Adhere 5.2 The Differences of Adiabatic and Isothermal Motions 6 Conclusions References Structural Variations of Ion-Acoustic Solitons 1 Introduction 2 Governing Equations and Derivations 3 Results 4 Conclusion References Effect of Kappa Parameters on the Modulational Instability in a Polarized Dusty Plasma 1 Introduction 2 Mathematical Formulation 3 Results and Discussion 4 Conclusion References Nonlinear Wave Structures in Six-Component Cometary Ion-Pair Dusty Plasma 1 Introduction 2 Basic Equations 3 Formulation of Korteweg-DeVries (KdV) Equation 4 Phase Plane Analysis 4.1 Solitary Wave Solutions 5 Conclusion References Cylindrical and Spherical Ion-Acoustic Shock and Solitary Waves in a Nonplanar Hybrid q-nonextensive Nonthermal Plasma 1 Introduction 2 Problem Formulation 3 Formation of Nonplaner KdV Burgers Equation 4 Progressive Wave Solution for Nonplanar KdV-Burgers (NKDVB) Equation 5 Shock Type Wave Solution for Nonplanar KdV-Burgers (NKDVB) Equation 6 Results and Discussion 7 Conclusion References Formation of Shocks in Ionospheric Plasma with Positron Beam 1 Introduction 2 Three-Fluid Beam-Plasma Model 3 Derivation of KdV-Burgers Equation and Its Solution 4 Solution of KdV-Burgers Equation 4.1 Oscillatory Shocks Solution 5 Parametric Analysis 6 Conclusions References Nonlinear Propagation of Gaussian Laser Beam in an Axially Magnetized Cold Quantum Plasma 1 Introduction 2 Theoretical Formulation 3 Results and Discussion 4 Conclusions References Inelastic Soliton Collision in Multispecies Inhomogeneous Plasma 1 Introduction 2 Theoretical Model and Equation of Motion 3 Hirota Bilinearization and Plasmic Solitons 3.1 One Soliton Solution 3.2 Two-Soliton Solution 4 Results and Discussion 5 Conclusions References Propagation of Rarefactive Dust Acoustic Solitary and Shock Waves in Unmagnetized Viscous Dusty Plasma Through the Damped Kadomstev-Petviashvili Burgers Equation 1 Introduction 2 Basic Model Equations 3 Derivation of Damped KP-Burgers Equation 4 Solution of Damped KP-Burgers Equation 4.1 Solitary Wave Solutions 4.2 Shock Wave Solutions 5 Parametric Discussion 6 Conclusion References Stability of the Dust-Acoustic Solitons in the Thomas-Fermi Dense Magnetoplasma 1 Introduction 2 Derivation of the ZK Equation 3 Solitary Wave Analysis 4 Stability Analysis 5 Numerical Investigations and Discussion 6 Conclusions References Existence and Stability of Dust-Ion-Acoustic Double Layers Described by the Combined SKP-KP Equation 1 Introduction 2 Evolution Equation 3 DL Solutions of Combined SKP-KP Equation 4 Stability Analysis 4.1 Zeroth Order Equation 4.2 First Order Equation 5 Conclusions References Dust-ion Collisional and Periodic Forcing Effects on Solitary Wave in a Plasma with Cairns-Gurevich Electron Distribution 1 Introduction 2 Basic Set of Equations and Cairns-Gurevich Electron Distribution 3 Derivation of Damped Forced KdV Like Schamel Equation and Its Time Dependent Approximate Analytical Solution 4 Effects of Various Parameters 5 Conclusions References Electron-Acoustic Solitons in a Multicomponent Superthermal Magnetoplasma 1 Introduction 2 Basic Fluid Equations 3 Derivation of ZK Equation and Its Solution 4 Numerical Analysis 5 Conclusion References Non-linear Fluctuating Parts of the Particle Distribution Function in the Presence of Drift Wave Turbulence in Vlasov Plasma 1 Introduction 2 Formulation of the Problem 3 Nonlinear Dispersion Relation of Electromagnetic O-Mode Wave 4 Discussions 5 Conclusions References Effect of Superthermal Charge Fluctuation on Bifurcation of Dust-Ion-Acoustic Waves Under the Burgers Equation in a Magnetized Plasma 1 Introduction 2 Model Equations 3 Derivation of the Burgers Equation 4 Dynamical System 4.1 Periodic Wave Solution 4.2 Dust-Ion-Acoustic Kink Wave (DIAKW) and Dust-Ion-Acoustic Anti-kink Wave (DIAAKW) 5 Conclusions References Dynamical Aspects of Ion-Acoustic Solitary Waves in a Magnetically Confined Plasma in the Presence of Nonthermal Components 1 Introduction 2 Basic Model Equations 3 Reductive Perturbation Method 4 Solution of ZK Equation 5 Results and Discussion 6 Conclusion References Maxwellian Multicomponent Dusty-Plasma with Fluctuating Dust Charges 1 Introduction 2 Basic Model Equations Governing Plasma Dynamics 3 Nonlinear Wave Equations: Derivation and Solution 3.1 Korteweg De Vries Equation 3.2 Burgers Equation 4 Results and Discussions 5 Conclusion References Effect of Polarization Force on Dust-Acoustic Solitary and Rogue Waves in (r, q) Distributed Plasma 1 Introduction 2 Fluid Model 2.1 Derivation of Kadomstev Petviashvili (KP) Equation 2.2 The Derivation of NLSE and Its Solution 2.3 Parametric Analysis 2.4 Conclusion References Dust-Ion-Acoustic Multisoliton Interactions in the Presence of Superthermal Particles 1 Introduction 2 Theoretical Formulation 3 Multisoliton Solution of the KdV Equation 3.1 One and Two Soliton Solutions 4 Results and Discussions 5 Conclusion References Fluid Dynamics and Nonlinear Flows Numerical Study of Shear Flow Past Two Flat Inclined Plates at Reynolds Numbers 100, 200 Using Higher Order Compact Scheme 1 Introduction 2 Mathematical Modelling 2.1 Numerical Discretization 3 Results and Discussion 3.1 Grid and Time Independence Test 3.2 Numerical Study 4 Conclusion References On Transport Phenomena of Solute Through a Channel with an Inclined Magnetic Field 1 Introduction 2 Formulation of the Problem 3 Numerical Procedure 4 Results and Discussions 5 Conclusions References Unsteady MHD Hybrid Nanoparticle (Au-Al2O3/Blood) Mediated Blood Flow Through a Vertical Irregular Stenosed Artery: Drug Delivery Applications 1 Introduction 2 Mathematical Modeling 2.1 Governing Equations 3 Results and Graphical Analysis 3.1 Validation of the Numerical Results 4 Conclusions References An Analytical Approach to Study the Environmental Transport of Fine Settling Particles in a Wetland Flow 1 Introduction 2 Mathematical Formulation 2.1 Velocity Distribution 2.2 Mass Transport Equation 3 Mean Concentration Expansion 4 Discussion of Results 5 Conclusions References Effects of Radiation and Chemical Reaction on MHD Mixed Convection Flow over a Permeable Vertical Plate 1 Introduction 2 Formulation of the Problem 3 Method of Solution 4 Results and Discussion 5 Conclusion References Note on the Circular Rayleigh Problem 1 Introduction 2 Circular Rayleigh Problem 3 Instability Region 4 Short Wave Stability 5 Concluding Remarks References Soret and Chemical Reaction Effects on Heat and Mass Transfer in MHD Flow of a Kuvshinski Fluid Through Porous Medium with Aligned Magnetic Field and Radiation 1 Introduction 2 Mathematical Formulation 3 Method of Solution 3.1 Zero Order Terms 3.2 First Order Terms 3.3 Skin Friction 3.4 Nusselt Number 3.5 Sherwood Number 4 Results and Discussion 5 Conclusion References Effect of Reversible Reaction on Concentration Distribution of Solute in a Couette Flow 1 Introduction 2 Formulation of the Problem 2.1 Velocity Profile 2.2 Governing Equation and Boundary Conditions 3 Multi-scale Method of Homogenization 3.1 Scales Selection 3.2 Dimensionless Governing Equation and Velocity Profile 3.3 Homogenization 4 Results and Discussion 5 Conclusion References Mathematical Analysis of Hybrid Nanoparticles (Au-Al2O3) on MHD Blood Flow Through a Curved Artery with Stenosis and Aneurysm Using Hematocrit-Dependent Viscosity 1 Introduction 2 Model Formulation 2.1 Geometry of the Model 2.2 Governing Equations 2.3 Non-dimensionalization of Governing Equations 3 Solution Process 3.1 Discretization of Governing Equations 4 Results and Graphical Analysis 4.1 Validation of the Numerical Results 4.2 Velocity Contours 4.3 Resistance Impedance 4.4 Wall Shear Stress 5 Conclusion References Response Behavior of a Coaxial Thermal Probe Towards Dynamic Thermal Loading 1 Introduction 2 Fabrication and Calibration of the Thermal Probe 3 Experimental Engine Set Up 3.1 Experimental Procedure 4 Results and Discussion 4.1 Transient Heat Flux Calculation Using Analytical Approach 5 Conclusion References Soret and Dufour Effects on Thin Film Micropolar Fluid Flow Through Permeable Media 1 Introduction 2 Mathematical Formulation 3 Solution Approach 4 Results and Discussion 5 Conclusion References Effects of Slip Velocity and Bed Absorption on Transport Coefficient in a Wetland Flow 1 Introduction 2 Mathematical Formulation 3 Description of Statistical Components 4 Numerical Computation 5 Discussion of Results 6 Conclusion References Entropy Analysis for MHD Flow Subject to Temperature-Dependent Viscosity and Thermal Conductivity 1 Introduction 2 Mathematical Formulation 2.1 Quantities of Physical Interest 3 Entropy 4 Result and Discussion 5 Conclusion References A Numerical Investigation on Transport Phenomena in a Nanofluid Under the Transverse Magnetic Field Over a Stretching Plate Associated with Solar Radiation 1 Introduction 2 Mathematical Formulation 3 Method of Solutions 4 Results and Discussions 5 Conclusions References Analysis of Solute Dispersion Through an Open Channel Under the Influence of Suction or Injection 1 Introduction 2 Mathematical Formulation 2.1 Different Time-Scales 2.2 Dimensionless Concentration Equation 2.3 Homogenization 3 Result and Discussions 4 Conclusion References Mathematical Modelling of Magnetized Nanofluid Flow Over an Elongating Cylinder with Erratic Thermal Conductivity 1 Introduction 2 Problem Construction 3 Methodology 4 Results and Discussion 5 Conclusions References Graphs, Networks and Communication Structure of Protein Interaction Network Associated With Alzheimer's Disease Using Graphlet Based Techniques 1 Introduction 2 Methodology 2.1 Collection of AD-Related Genes 2.2 Construction of AD-Associated Network 2.3 Network Topology Using Graphlet Analysis 3 Results and Discussion 3.1 RGFD Between AD-Network and Model Networks 3.2 Graphlet degree distribution agreement 3.3 Graphlet correlation matrix of AD-related PPI network 4 Conclusion References On Divisor Function Even(Odd) Sum Graphs 1 Introduction 2 Divisor Function Even Sum Graph 3 Divisor Function Odd Sum Graph 4 Conclusion References A Visible Watermarking Approach Likely to Steganography Using Nonlinear Approach 1 Introduction 2 Related Works 3 The Scheme 4 Implementation of Process and Experimental Result 5 Performance Analysis of NPP-4 Methodology 6 Conclusion References A New Public Key Encryption Using Dickson Polynomials Over Finite Field with 2m 1 Introduction 2 Dickson Polynomial 2.1 Definition (Dickson Polynomial of First Kind) 2.2 Definition (Modified Dickson Polynomial) 2.3 Definition (Discrete Dickson Problem) 3 Our Proposed Public Key Encryption Scheme 4 Explanation with a Simple Example Using Wolfram Mathematica 5 Security 6 Performance Analysis 7 Conclusion References Strongly k-Regular Dominating Graphs 1 Introduction 2 Results 2.1 Strongly 0-Regular Dominating Graph 2.2 Strongly 1-Regular Dominating Graphs 2.3 Construction of Strongly k-Regular Dominating Graph 3 Conclusion References Chaotic Based Image Steganography Using Polygonal Method 1 Introduction 2 Literature Review 3 Proposed Work and Algorithms 3.1 Process of the Proposed Work 3.2 Algorithm for Encoding Process 3.3 Flow Chart of Encoding Process 3.4 Algorithm for Decoding Process 3.5 Flow Chart of Decoding Technique 4 Performance Analysis 5 Conclusion References On the Construction Structures of 3 times3 Involutory MDS Matrices over mathbbF2m 1 Introduction 1.1 Motivation and Contribution 1.2 Organization 2 Preliminaries 3 Findings on New Transposition-Permutation Path Patterns 4 Conclusion and Future Works References Fractional System and Applications A Novel Generalized Method for Evolution Equation and its Application in Plasma 1 Introduction 2 Model Equation and Definition of Corresponding Parameters 3 Solution of (2+1)-Dimensional ZKB Equation 3.1 Description of the Generalized Kudryashov Method 3.2 Application of the Generalized Kudryashov Method on ZKB Equation 4 Results and Discussion 5 Conclusion References Impact of Fear and Strong Allee Effects on the Dynamics of a Fractional-Order Rosenzweig-MacArthur Model 1 Introduction 2 Feasibility and Stability of Equilibrium Points 3 Bifurcation Analysis 4 Numerical Simulation 5 Conclusion References Stabilization of Fractional Order Uncertain Lü System 1 Introduction 2 Basic Preliminaries of Fractional Calculus 3 Stabilization Strategy 4 Simulation Results for Fractional Order Lü System 5 Conclusion References Artificial Intelligence, Internet of Things and Smart Learning The Transfer Trajectory onto the Asteroid for Mining Purposes Using LPG-Algorithm 1 Introduction 2 LPG-Algorithm 3 Problem Statment and Solution Process 3.1 Advantage and Limitations 4 Apply on the Equation of Motion 5 Numerical Simulation 6 Conclusions References Prediction of Chaotic Attractors in Quasiperiodically Forced Logistic Map Using Deep Learning 1 Introduction 2 Data Preparation 3 Deep Learning Framework: Long Short-Term Memory 4 Results and Discussion 4.1 Effect of Model Architecture 4.2 Multi-step Forecasting 5 Conclusion References Dynamic Calibration of a Stress-Wave Force Balance Using Hybrid Soft Computing Approach 1 Introduction 2 Calibration Experiment 3 Recovery of Forces Using ANFIS Method 4 Recovery of Forces Using De-convolution Technique 5 Results and Discussion 6 Conclusion References Environment-Friendly Smart City Solution with IoT Application 1 Introduction 2 Smart City Solution (Model Approach) 3 Future Scope and Conclusion References Parametric Optimization of WEDM Process on Nanostructured Hard Facing Alloy Applying Metaheuristic Algorithm 1 Introduction 2 Experimental Setup 3 Results and Discussions 3.1 ANN Analysis 3.2 Multi-objective Optimization of Responses 3.3 Confirmation Experiments 4 Conclusions References Object Detection: A Comparative Study to Find Suitable Sensor in Smart Farming 1 Introduction 1.1 IR Sensor 1.2 Ultrasonic Sensor 2 Methodology 2.1 Theoretical Differences in Features of Both the Sensors 2.2 Experimental Observations for Both the Sensors 3 Results and Discussion 4 Conclusion References Robust Adaptive Controller for a Class of Uncertain Nonlinear Systems with Disturbances 1 Introduction 2 Problem Formulation 3 Algorithm for Identification and Compensation of Uncertain Parameters 4 Synthesis of the Sliding Mode Control Law 5 Results and Discussion 6 Conclusion References Mathematical Modeling: Trends and Applications Role of Additional Food in a Delayed Eco-Epidemiological Model with the Fear-Effect 1 Introduction 2 Mathematical Model Formulation 3 Basic Mathematical Results 4 Equilibrium Points and Stability Analysis 4.1 Equilibrium Points 4.2 Stability Analysis 4.3 Hopf Bifurcation 5 Implementation of Optimal Control to Disease 6 Numerical Simulation 6.1 Non-delay System 6.2 Delayed System 7 Conclusion References Impact of Predator Induced Fear in a Toxic Marine Environment Considering Toxin Dependent Mortality Rate 1 Introduction 2 Model Formulation 3 Well-posedness 3.1 Positivity 3.2 Boundedness 4 Stability Analysis 4.1 Fixed Points with Their Existence Conditions 4.2 Local Stability Analysis (LAS) 4.3 Existence of Hopf-bifurcation 5 Numerical Simulation 6 Conclusion References Stability Analysis of the Leslie-Gower Model with the Effects of Harvesting and Prey Herd Behaviour 1 Introduction 1.1 Mathematical Modeling 2 Fixed Points and Their Stability 2.1 Existence of Fixed Points 2.2 Stability of the Fixed Points 3 Discussion with Numerical Examples 4 Conclusion References Modeling the Symbiotic Interactions Between Wolbachia and Insect Species 1 Introduction 2 Model Setup 3 Boundedness 4 Equilibria 4.1 The Infection-Free Case 4.2 Persistence of the Wolbachia-Infected Population and Extinction of the Wild Population 4.3 Coexistence with Endemic Infection 5 Numerical Simulations 5.1 Oviposition 5.2 Mortality 5.3 Vertical Transmission 5.4 Mating Prevention 5.5 Intraspecific Competition 5.6 Sex Ratio 6 Conclusion References Effect of Nonlinear Harvesting on a Fractional-Order Predator-Prey Model 1 Introduction 2 Equilibrium Points and Local Stability 2.1 m