Exact traveling wave solutions for a generalized Hirota-Satsuma coupled KdV equation by Fan sub-equation method

DOI10.1016/J.PHYSLETA.2011.04.039zbMath1241.35178OpenAlexW2086132307MaRDI QIDQ434096

Da-He Feng, Ke-Zan Li

Publication date: 9 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.04.039

zbMATH Keywords

solitary wave solutionperiodic wave solutionFan sub-equation methodgeneralized Hirota-Satsuma coupled KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (12)

Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks ⋮ Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative ⋮ Exact travelling wave solutions for isothermal magnetostatic atmospheres by Fan subequation method ⋮ New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the Exp-function method ⋮ Exact solutions of the cubic-quintic nonlinear optical transmission equation with higher-order dispersion terms and self-steepening term ⋮ Joint application of bilinear operator and F-expansion method for (\(2 + 1\))-dimensional Kadomtsev-Petviashvili equation ⋮ New exact solutions and conservation laws of a coupled Kadomtsev-Petviashvili system ⋮ Some new solutions of the Caudrey-Dodd-Gibbon (CDG) equation using the conformable derivative ⋮ Bifurcation, traveling wave solutions, and stability analysis of the fractional generalized Hirota-Satsuma coupled KdV equations ⋮ Exact solitary wave and quasi-periodic wave solutions of the KdV-Sawada-Kotera-Ramani equation ⋮ Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system ⋮ Classification of all single traveling wave solutions of fractional coupled Boussinesq equations via the complete discrimination system method

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