On the Existence of Dark Solitons in a Cubic-Quintic Nonlinear Schrödinger Equation with a Periodic Potential

On the Existence of Dark Solitons in a Cubic-Quintic Nonlinear Schrödinger Equation with a Periodic Potential......Page 1 Towards a Nonperturbative Renormalization Group Analysis......Page 10 Openness of the Set of Non-characteristic Points and Regularity of the Blow-up Curve for the 1 D Semilinear Wave Equation......Page 54 p -adic Superspaces and Frobenius......Page 86 Braided Hopf Algebras Obtained from Coquasitriangular Hopf Algebras......Page 113 On Adiabatic Pair Creation......Page 159 Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States......Page 197 On Connected Diagrams and Cumulants of Erdos-Rényi Matrix Models......Page 207 Cocyclic Cohomology of Bialgebroids: An Approach via Comonads......Page 237 The Pauli Principle Revisited......Page 285 Root Asymptotics of Spectral Polynomials for the Lamé Operator......Page 321 Precise Constants in Bosonization Formulas on Riemann Surfaces. I......Page 336 Numerical Kähler-Einstein Metric on the Third del Pezzo......Page 353 Quantisations of Piecewise Parabolic Maps on the Torus and their Quantum Limits......Page 390 Asymptotics and Dimensional Dependence of the Number of Critical Points of Random Holomorphic Sections......Page 414 A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schrödinger Equation......Page 429 Fluctuation Relations for Diffusion Processes......Page 462 Einstein Supergravity and New Twistor String Theories......Page 512 The Paraboson Fock Space and Unitary Irreducible Representations of the Lie Superalgebra osp1|2n......Page 567 A Spinor Approach to Walker Geometry......Page 568 On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization......Page 615 Universality of the REM for Dynamics of Mean-Field Spin Glasses......Page 653 Decay and Non-Decay of the Local Energy for the Wave Equation on the De Sitter−Schwarzschild Metric......Page 686 Multiple Bound States of Nonlinear Schrödinger Systems......Page 709 References......Page 718 Unstable Surface Waves in Running Water......Page 720 Determinant Bounds and the Matsubara UV Problem of Many-Fermion Systems......Page 784 Modules-at-Infinity for Quantum Vertex Algebras......Page 806