Abundant families of Jacobi elliptic function-like solutions for a generalized variable coefficients 2D KdV equation via the extended mapping method

DOI10.1016/j.physleta.2005.04.100zbMath1195.35003OpenAlexW2080219455MaRDI QIDQ1957438

Emmanuel Yomba

Publication date: 27 September 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.04.100

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (7)

Nonlinear interaction of solitary waves described by multi-rational wave solutions of the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficients ⋮ On the generalized Kadomtsev-Petviashvili equation with generalized evolution and variable coefficients ⋮ Transformations and multi-solitonic solutions for a generalized variable-coefficient Kadomtsev-Petviashvili equation ⋮ Conservation laws, symmetry reductions, and new exact solutions of the (2 + 1)-dimensional Kadomtsev-Petviashvili equation with time-dependent coefficients ⋮ ANALYTIC ANALYSIS ON A GENERALIZED (2+1)-DIMENSIONAL VARIABLE-COEFFICIENT KORTEWEG–DE VRIES EQUATION USING SYMBOLIC COMPUTATION ⋮ New periodic wave solutions via extended mapping method ⋮ N-SOLITON SOLUTIONS, AUTO-BÄCKLUND TRANSFORMATIONS AND LAX PAIR FOR A NONISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION VIA SYMBOLIC COMPUTATION

Uses Software

• Mathematica

Cites Work

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• New exact solutions for a generalized variable coefficients 2D KdV equation
• Symbolic software for soliton theory
• New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
• A simple transformation for nonlinear waves.
• Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation

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