HPM AND VIM METHODS FOR FINDING THE EXACT SOLUTIONS OF THE NONLINEAR DISPERSIVE EQUATIONS AND SEVENTH-ORDER SAWADA–KOTERA EQUATION

DOI10.1142/S0217979209049607zbMath1165.35437OpenAlexW2051489214MaRDI QIDQ5322398

Z. Z. Ganji, Nahid Jamshidi, Davood Domairry Ganji

Publication date: 21 July 2009

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979209049607

zbMATH Keywords

nonlinear dispersive equationsvariational iteration method (VIM)homotopy perturbation method (HPM)the seventh-order Sawada--Kotera equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Variational principles of physics (49S05)

Related Items (1)

Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method

Cites Work

• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• A numerical study of compactons
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Approximate solution of nonlinear differential equations with convolution product nonlinearities
• An application of the ADM to seven-order Sawada--Kotara equations
• Asymptotology by homotopy perturbation method
• Comparison of homotopy perturbation method and homotopy analysis method
• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• Application of homotopy perturbation method to nonlinear wave equations
• Compactons: Solitons with finite wavelength
• A finite difference method for korteweg-de vries like equation with nonlinear dispersion
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• Variational iteration method for autonomous ordinary differential systems
• A study of nonlinear dispersive equations with solitary-wave solutions having compact support
• Unnamed Item

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