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Ahmad Molabahrami

Academic rank: Associate Professor
ORCID:
Education: PhD.
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Faculty: Basic Science
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Research

Title
Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method
Type
JournalPaper
Keywords
Homotopy perturbation method; Korteweg–de Vries equation; Burgers’ equation; Two-dimensional Korteweg–de Vries Burgers’ equation; Soliton solution
Year
2007
Journal PHYSICS LETTERS A
DOI
Researchers Ahmad Molabahrami ، Farzad Khani ، S. Hamedi-Nezhad

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.