Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system.

DOI10.1016/S0096-3003(02)00633-1zbMath1038.35092OpenAlexW2070502563MaRDI QIDQ1412571

En-gui Fan, Benny Y. C. Hon

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00633-1

zbMATH Keywords

Symbolic computationAlgebraic methodGeneralized Hirota-Satsuma coupled systemJacobi and Weierstrass doubly periodic wave solutionSoliton solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

New travelling-wave solutions for Dodd-Bullough equation, A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation, New explicit exact solutions for the generalized coupled Hirota-Satsuma KdV system, Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system, A systematic method for solving differential-difference equations, On two approaches of finding exact solutions to nonlinear evolution equations, Symbolic computation and families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional Nizhnik-Novikov-Veselov equation., A generalized F-expansion method to find abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional Nizhnik-Novikov-Veselov equation

Uses Software

• MACSYMA
• ATFM

Cites Work

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