期刊
PHYSICS LETTERS A
卷 370, 期 5-6, 页码 433-436出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2007.05.101
关键词
homotopy perturbation method; Korteweg-de Vries equation; Burgers' equation; two-dimensional Korteweg-de Vries Burgers' equation; soliton solution
In this Letter, the 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. (C) 2007 Elsevier B.V. All rights reserved.
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