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Exact periodic cross-kink wave solutions for the (2+1)-dimensional Korteweg-de Vries equation

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Abstract

The movement of any object has a certain natural law, and the studies and solutions to many natural laws boil down to the problem of mathematical physics equations. Many important physical situations such as fluid flows, plasma physics, and solid state physics have been described by the Korteweg-de Vries (KdV)-type models. In this article, the (2+1)-dimensional KdV equation is presented. By using the Hirota’s bilinear form and the extended Ansätz function method, we obtain new exact periodic cross-kink wave solutions for the (2+1)-dimensional KdV equation. With the aid of symbolic computation, the properties for these exact periodic cross-kink wave solutions are shown with some figures.

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Funding

Project supported by National Natural Science Foundation of China (Grant No. 81860771), Science and Technology project from the Department of Education of Jiangxi Province (Grant No. 160803) and Key discipline Project of Jiangxi University of Traditional Chinese Medicine (Grant No. 2016jzzdxk 015).

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  1. College of Computer, Jiangxi University of Traditional Chinese Medicine, Nanchang, 330004, Jiangxi, China

    Jian-Guo Liu & Qing Ye

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  1. Jian-Guo Liu
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Correspondence to Qing Ye.

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Liu, JG., Ye, Q. Exact periodic cross-kink wave solutions for the (2+1)-dimensional Korteweg-de Vries equation. Anal.Math.Phys. 10, 54 (2020). https://doi.org/10.1007/s13324-020-00397-w

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