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Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method |
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| Authors: | A. Molabahrami F. Khani S. Hamedi-Nezhad |
| Affiliation: | aDepartment of Mathematics, Ilam University, PO Box 69315516, Ilam, Iran bBakhtar Institute of Higher Education, PO Box 696, Ilam, Iran |
| Abstract: | 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. |
| Keywords: | Homotopy perturbation method Korteweg–de Vries equation Burgers' equation Two-dimensional Korteweg–de Vries Burgers' equation Soliton solution |
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