New explicit exact solutions for the generalized coupled Hirota-Satsuma KdV system

DOI10.1016/j.camwa.2006.08.047zbMath1129.35445OpenAlexW2068270674MaRDI QIDQ2468902

Baojian Hong, Lixin Tian, Dianchen Lu

Publication date: 30 January 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.08.047

zbMATH Keywords

Riccati equationssolitary wave solutionperiodic wave solutiongeneralized coupled Hirota-Satsuma KdV system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (9)

Exact traveling wave solutions of certain nonlinear partial differential equations using the \(\left(G^{\prime} / G^2\right)\)-expansion method ⋮ On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system ⋮ Multiple invariant solutions of the 3D potential Yu–Toda–Sasa–Fukuyama equation via symmetry technique ⋮ An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves ⋮ The generalized projective Riccati equations method for solving nonlinear evolution equations in mathematical physics ⋮ New exact solutions for the \((2 + 1)\)-dimensional generalized Broer-Kaup system ⋮ Lie symmetry and exact solution of the time-fractional Hirota-Satsuma Korteweg-de Vries system ⋮ New exact Jacobi elliptic functions solutions for the generalized coupled Hirota-Satsuma KdV system ⋮ New solitary wave and periodic wave solutions for general types of KdV and KdV-Burgers equations

Cites Work

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