Soliton solutions of (2+1) and (3+1)-dimensional KdV and mKdV equations

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2022-03-19T00:00:00

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American Institute of Physics Inc.

Abstract

In this paper, we investigate the (2+1) and (3+1)-dimensional Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations. Firstly these equations are converted into ordinary differential equations via traveling wave transforma- tions. Then bright and singular soliton solutions are derived via new version of kudryashov method. � 2022 Author(s).

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