Solution of Davey-Stewartson equations by homotopy perturbation method

DOI10.1134/S0965542509080089zbMath1199.35359OpenAlexW1988773670MaRDI QIDQ3652373

Hassan A. Zedan, Seham Sh. Tantawy

Publication date: 17 December 2009

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542509080089

zbMATH Keywords

Davey-Stewartson equationshomotopy perturbation methodmethod of approximate solutioncomputation of absolute errors of the method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations in context of PDEs (35B20)

Related Items (4)

The application of the homotopy analysis method and the homotopy perturbation method to the Davey-Stewartson equations and comparison between them and exact solutions ⋮ Soliton solutions of Davey-Stewartson equation by trial equation method and ansatz approach ⋮ Periodic-wave and semirational solutions for the \((2 + 1)\)-dimensional Davey-Stewartson equations on the surface water waves of finite depth ⋮ New Weierstrass elliptic wave solutions of the Davey–Stewartson equation with power law nonlinearity

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