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Zbl 1209.65113
Molabahrami, A.; Khani, F.; Hamedi-Nezhad, S.
Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method. (English)
[J] Phys. Lett., A 370, No. 5-6, 433-436 (2007). ISSN 0375-9601

Summary: He's homotopy perturbation method (HPM) to finding the soliton solutions of the two-dimensional Korteweg-de Vries Burgers' equation (tdKdVB) for the initial conditions was applied. Numerical solutions of the equation were obtained. The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy. The results reveal that the HPM is very effective and simple.

MSC 2000:: *65M99 Numerical methods for IVP of PDE
35Q53 KdV-like equations
35Q51 Solitons

Keywords: homotopy perturbation method; Korteweg-de Vries equation; Burgers' equation; two-dimensional Korteweg-de Vries Burgers' equation; soliton solution

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Zentralblatt MATH Berlin [Germany]