Homotopy perturbation method for coupled Schrödinger-KdV equation

DOI10.1016/j.nonrwa.2008.04.008zbMath1163.35486OpenAlexW2094070000MaRDI QIDQ1026713

Semih Küçükarslan

Publication date: 29 June 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.04.008

zbMATH Keywords

homotopy perturbation method (HPM)coupled Schrödinger-KdV equationnumerical analysis of nonlinear partial differential equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

On the soliton solution and Jacobi doubly periodic solution of the fractional coupled Schrödinger-KdV equation by a novel approach ⋮ High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger–KdV equations ⋮ \(N\)-soliton solutions and asymptotic analysis for a Kadomtsev-Petviashvili-Schrödinger system for water waves ⋮ High-order Runge-Kutta structure-preserving methods for the coupled nonlinear Schrödinger-KdV equations ⋮ A meshless method for numerical solution of the coupled Schrödinger-KdV equations ⋮ A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations ⋮ An extension of the optimal homotopy asymptotic method to coupled Schrödinger-KdV equation

Cites Work

• Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• An approximate solution technique depending on an artificial parameter: A special example
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method: a new nonlinear analytical technique
• Comparison of homotopy perturbation method and homotopy analysis method
• Homotopy perturbation technique
• The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
• Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method

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