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Double-periodic soliton solutions for the new (2 + 1)-dimensional KdV equation in fluid flows and plasma physics

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Abstract

Based on the extended homoclinic test technique, we introduce an ansätz functions to construct double periodic-soliton solutions of new (2 + 1)-Dimensional KdV Equation. Some entirely new double periodic-soliton solutions are obtained. The obtained solutions show that there exist multiple-periodic solitary waves in the different directions for the new (2 + 1)-Dimensional KdV Equation. With the help of symbolic computation, the properties for these new solutions are presented with some figures.

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Authors and Affiliations

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

    Jian-Guo Liu, Zhi-Qiang Lei & Guo-Ping Ai

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

    Jian-Guo Liu

  3. Institute of Artificial Intelligence, Nanchang Institute of Science and Technology, Nanchang, 330108, Jiangxi, China

    Wen-Hui Zhu

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Project supported by National Natural Science Foundation of China (Grant No. 81160531).

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Liu, JG., Zhu, WH., Lei, ZQ. et al. Double-periodic soliton solutions for the new (2 + 1)-dimensional KdV equation in fluid flows and plasma physics. Anal.Math.Phys. 10, 41 (2020). https://doi.org/10.1007/s13324-020-00387-y

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