Exact traveling wave solutions for the generalized Hirota-Satsuma couple KdV system using the exp(−φ(ξ))-expansion method

DOI10.1080/23311835.2016.1172397zbMath1438.35358OpenAlexW2396780398MaRDI QIDQ4966756

Mostafa M. A. Khater

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1172397

zbMATH Keywords

traveling wave solutionssolitary wave solutions\(\exp(-\phi(\xi))\)-expansion methodgeneralized Hirota-Satsuma couple KdV system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Analyticity in context of PDEs (35A20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items

Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system, Equivalence transformation, dynamical analysis and exact solutions of Harry-Dym system with variable coefficients, An equivalent form for the \(\exp(-\phi(\xi))\)-expansion method, Solitary and periodic wave solutions of Calogero-Bogoyavlenskii-Schiff equation via exp-function methods, Invariant subspace classification and exact explicit solutions to a class of nonlinear wave equation, Dynamical analysis of nonlocalized wave solutions of \((2 + 1)\)-dimensional CBS and RLW equation with the impact of fractionality and free parameters, Symmetry reductions, dynamical behavior and exact explicit solutions to a class of nonlinear shallow water wave equation

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