Analytical approach to Kawahara equation using variational iteration method and homotopy perturbation method

zbMath1152.35091MaRDI QIDQ949128

Jun-Feng Lu

Publication date: 20 October 2008

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

exact solutionapproximate solutionvariational iteration methodhomotopy perturbation methodKawahara equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Theoretical approximation in context of PDEs (35A35) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items (8)

Analytical solution of time fractional Kawahara and modified Kawahara equations by homotopy analysis method ⋮ A reliable treatment of homotopy perturbation method for solving the nonlinear Klein-Gordon equation of arbitrary (fractional) orders ⋮ A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains ⋮ An analytical approach to the sine-Gordon equation using the modified homotopy perturbation method ⋮ Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation ⋮ On the solutions for a Benney-Lin type equation ⋮ Numerical solution of time-fractional Kawahara equation using reproducing kernel method with error estimate ⋮ Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation

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