Lie group method for solving generalized Hirota-Satsuma coupled Korteweg-de Vries (KdV) equations

DOI10.1016/j.amc.2013.08.070zbMath1334.35273OpenAlexW2059542119WikidataQ115361519 ScholiaQ115361519MaRDI QIDQ279026

Mina B. Abd-El-malek, Amr M. Amin

Publication date: 27 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.08.070

zbMATH Keywords

solitonsKdV equationLie point symmetry

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)

Related Items (8)

New exact solutions for solving the initial-value-problem of the KdV-KP equation via the Lie group method ⋮ Lie group analysis for a higher-order Boussinesq-Burgers system ⋮ Bilinear forms and solitonic stability for a variable-coefficient Hirota-Satsuma coupled Korteweg-de Vries system in a liquid ⋮ Painlevé analysis, auto-Bäcklund transformations, bilinear forms and soliton solutions for a (2+1)-dimensional variable-coefficient modified dispersive water-wave system in fluid mechanics ⋮ Lie group analysis for a \((2+1)\)-dimensional generalized modified dispersive water-wave system for the shallow water waves ⋮ Analysis of \((3 + 1)\)-dimensional unsteady gas flow using optimal system of Lie symmetries ⋮ Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis ⋮ Jacobi spectral discretization for nonlinear fractional generalized seventh-order KdV equations with convergence analysis

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