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Darboux transformation approach for two new coupled nonlinear evolution equations

Dan Zhao

http://orcid.org/0000-0003-2707-9444

College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China

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and

Zhaqilao

College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China

E-mail Address: zhaqilao@imnu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217984920500049Cited by:2 (Source: Crossref)

Abstract

A new coupled Burgers equation and a new coupled KdV equation which are associated with $3 \times 3$ matrix spectial problem are investigated for complete integrability and covariant property. For integrability, Lax pair and conservation laws of the two new coupled equations with four potentials are established. For covariant property, Darboux transformation (DT) is used to construct explicit solutions of the two new coupled equations.

Keywords:

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