Travelling wave solutions of the Schrödinger-Boussinesq system

DOI10.1155/2012/198398zbMath1253.65162OpenAlexW2022829161WikidataQ58695936 ScholiaQ58695936MaRDI QIDQ696008

Reza Abazari, Adem Kilicman

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/198398

zbMATH Keywords

Schrödinger-Boussinesq system\((G'/G)\)-expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (13)

Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations ⋮ Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations ⋮ Dynamical behaviors to the coupled Schrödinger-Boussinesq system with the beta derivative ⋮ Conservative compact finite difference scheme for the coupled <scp>S</scp>chrödinger–<scp>B</scp>oussinesq equation ⋮ Soliton solutions of the coupled Schrödinger-Boussinesq equations for Kerr law nonlinearity ⋮ Exact solutions of travelling wave model via dynamical system method ⋮ New application of the \((G'/G)\)-expansion method for thin film equations ⋮ Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system ⋮ Conservative Fourier spectral scheme for the coupled Schrödinger-Boussinesq equations ⋮ Solitary wave solutions of the Boussinesq equation and its improved form ⋮ Solitary wave solutions of three special types of Boussinesq equations ⋮ The investigation of solutions to the coupled Schrödinger-Boussinesq equations ⋮ Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger–Boussinesq equations

Cites Work

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• Application of Exp-function method to Symmetric Regularized Long Wave (SRLW) equation
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• The \((\frac{G'}G)\)-expansion method for Tzitzéica type nonlinear evolution equations
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations

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