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New periodic solitary wave solutions for the new (2+1)-dimensional Korteweg–de Vries equation

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Abstract

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 new (2+1)-dimensional KdV equation is discussed by using the Hirota’s bilinear form and a direct test function to construct new periodic solitary wave solutions. The new periodic solitary wave solutions obtained in this work enrich the solution structure of higher-dimensional nonlinear wave equations. In addition, with the aid of symbolic computation, the properties for these periodic solitary wave solutions are illustrated with some figures.

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Ye-Zhou Li & Jian-Guo Liu

  2. College of Computer, Jiangxi University of Traditional Chinese Medicine, JiangXi, 330004, China

    Jian-Guo Liu

  3. School of Automation, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Jian-Guo Liu

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  1. Ye-Zhou Li
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  2. Jian-Guo Liu
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Correspondence to Ye-Zhou Li.

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Project supported by National Natural Science Foundation of China (Grant Nos. 11571049 and 61370195).

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Li, YZ., Liu, JG. New periodic solitary wave solutions for the new (2+1)-dimensional Korteweg–de Vries equation. Nonlinear Dyn 91, 497–504 (2018). https://doi.org/10.1007/s11071-017-3884-4

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  • DOI: https://doi.org/10.1007/s11071-017-3884-4

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