An extension of the optimal homotopy asymptotic method to coupled Schrödinger-KdV equation

DOI10.1155/2014/106934zbMath1293.35013OpenAlexW1973066759WikidataQ59043094 ScholiaQ59043094MaRDI QIDQ2247859

M. Idrees, Mehreen Fiza, Saeed Islam, Zahoor Ul Haq, Hakeem Ullah

Publication date: 30 June 2014

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/106934

zbMATH Keywords

variational iteration methodhomotopy perturbation methodextended OHAM solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35)

Related Items (1)

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Cites Work

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• Application of optimal homotopy asymptotic method to doubly wave solutions of the coupled Drinfel'd-Sokolov-Wilson equations
• A meshless method for numerical solution of the coupled Schrödinger-KdV equations
• Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrödinger-KdV equations
• Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method
• Homotopy perturbation method for coupled Schrödinger-KdV equation
• An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
• Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrödinger-KdV equation
• Applications of extended tanh method to `special' types of nonlinear equations
• On the solution of the coupled Schrödinger-KdV equation by the decomposition method
• Explicit analytical approximation to large-amplitude non linear oscillations of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia
• Solution of boundary layer problems with heat transfer by optimal homotopy asymptotic method
• Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations

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