A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation

DOI10.1016/j.na.2009.02.029zbMath1172.35480OpenAlexW1992014482MaRDI QIDQ924013

Benny Y. C. Hon, En-gui Fan

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.029

zbMATH Keywords

solitary wavesSchrödinger-Boussinesq equationJacobi elliptic functionsalgebraic methodcoupled Higgs equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Related Items (13)

Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations ⋮ On Doubly Periodic Standing Wave Solutions of the Coupled Higgs Field Equation ⋮ Soliton dynamics to the Higgs equation and its multi-component generalization ⋮ Dynamics of localized wave solutions for the coupled Higgs field equation ⋮ Application of tetragonal curves to coupled Boussinesq equations ⋮ Traveling wave and general form solutions for the coupled Higgs system ⋮ The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation ⋮ Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system ⋮ New types of doubly periodic standing wave solutions for the coupled Higgs field equation ⋮ The quadratic B-spline finite-element method for the coupled Schrödinger–Boussinesq equations ⋮ New exact solutions for some coupled nonlinear partial differential equations using extended coupled sub-equations expansion method ⋮ A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations ⋮ Bifurcations of traveling wave solutions for the coupled Higgs field equation

Uses Software

• MACSYMA
• ATFM

Cites Work

• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA
• Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system.
• A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves
• Normal form analysis and chaotic scenario in a Schrödinger-Boussinesq system.
• Painléve analysis and Bäcklund transformations for coupled generalized Schrödinger-Boussinesq system
• Applications of the Jacobi elliptic function method to special-type nonlinear equations
• Solitary wave and doubly periodic wave solutions for the Kersten-Krasil'shchik coupled KdV-mKdV system
• Extended tanh-function method and its applications to nonlinear equations
• Solitary wave solutions of nonlinear wave equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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