Doubly periodic solutions of the coupled scalar field equations

DOI10.1016/J.CHAOS.2004.03.022zbMath1074.34004OpenAlexW1977487796MaRDI QIDQ1772636

Chunping Liu

Publication date: 21 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.03.022

zbMATH Keywords

Schrödinger-Boussinesq equationJacobi elliptic functionexact solitary wave solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (1)

The quadratic B-spline finite-element method for the coupled Schrödinger–Boussinesq equations

Cites Work

• Unnamed Item
• A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves
• A sinh-Gordon equation expansion method to construct doubly periodic solutions for nonlinear differential equations.
• Two simple ansätze for obtaining exact solutions of high dispersive nonlinear Schrödinger equations
• Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems
• Doubly periodic solutions for a class of nonlinear coupled equations and two related physical models
• Nonlinear transform and Jacobi elliptic function solutions of nonlinear equations
• Soliton solutions of a coupled field using the mixing exponential method
• Exact solutions of coupled scalar field equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

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