Superposition in nonlinear wave and evolution equations

DOI10.1007/s10773-006-9100-9zbMath1101.81054arXivnlin/0508015OpenAlexW3103848241MaRDI QIDQ2506134

Yanyan Li

Publication date: 28 September 2006

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0508015

zbMATH Keywords

solitary wave solutionlinear superposition

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

Travelling wave solutions for a nonlinear variant of the PHI-four equation ⋮ Analytical solutions of nonlinear Schrödinger equation with distributed coefficients ⋮ Propagation of nonlinear waves in bi-inductance nonlinear transmission lines ⋮ Elliptic travelling wave solutions to a generalized Boussinesq equation ⋮ Exact wave solutions for Bose–Einstein condensates with time-dependent scattering length and spatiotemporal complicated potential ⋮ Travelling wave solutions for the nonlinear dispersion Drinfeld-Sokolov \((D(m,n))\) system ⋮ New Weierstrass elliptic wave solutions of the Davey–Stewartson equation with power law nonlinearity

Uses Software

• PDESpecialSolutions

Cites Work

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• Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
• Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
• Periodic solutions of nonlinear equations obtained by linear superposition
• Cyclic identities involving Jacobi elliptic functions
• Cyclic identities for Jacobi elliptic and related functions
• Traveling wave solutions of a generalized modified Kadomtsev–Petviashvili equation
• A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
• The edge wave in the problem of diffraction on a boundary with jump of curvature

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