CRC handbook of lie group analysis of differential equations. Vol. 2 : Applications in engineering and physical sciences

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra.Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

today Lie Group Theoretical Approach To Differential Equations Has Been Extended To New Situations And Has Become Applicable To The Majority Of Equations That Frequently Occur In Applied Sciences. Newly Developed Theoretical And Computational Methods Are Awaiting Application. Students And Applied Scientists Are Expected To Understand These Methods. Volume 3 And The Accompanying Software Allow Readers To Extend Their Knowledge Of Computational Algebra.
written By The World's Leading Experts In The Field, This Up-to-date Sourcebook Covers Topics Such As Lie-bäcklund, Conditional And Non-classical Symmetries, Approximate Symmetry Groups For Equations With A Small Parameter, Group Analysis Of Differential Equations With Distributions, Integro-differential Equations, Recursions, And Symbolic Software Packages. The Text Provides An Ideal Introduction To The Modern Group Analysis And Addresses Issues To Both Beginners And Experienced Researchers In The Application Of Lie Group Methods.

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods. v. 1. Symmetries, exact solutions, and conservation laws / W.F. Ames ... [et al.] v. 2. Applications in engineering and physical sciences / A.V. Aksenov ... [et al.] v. 3. New trends in theoretical developments and computational methods / R.L. Anderson ... [et al.]. Lie, in his group theoretic investigations of differential equations, found it necessary to distinguish clearly between two approaches: One is natural and deals with the totality of solutions of a given differential equation. Content: V.I : Symmetries exact solutions and conservation laws. -- Bibliografía. -- Indices. This chapter describes the general structure of Lie-Backlund transformation groups.