New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation

Yiren Chen, Shaoyong Li and Mohammad Mirzazadeh

Advances in Mathematical Physics, 2021, vol. 2021, 1-6

Abstract: Using the bifurcation method of dynamical systems, we investigate the nonlinear waves and their limit properties for the generalized KdV-mKdV-like equation. We obtain the following results: (i) three types of new explicit expressions of nonlinear waves are obtained. (ii) Under different parameter conditions, we point out these expressions represent different waves, such as the solitary waves, the 1-blow-up waves, and the 2-blow-up waves. (iii) We revealed a kind of new interesting bifurcation phenomenon. The phenomenon is that the 1-blow-up waves can be bifurcated from 2-blow-up waves. Also, we gain other interesting bifurcation phenomena. We also show that our expressions include existing results.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4213939

DOI: 10.1155/2021/4213939

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