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Nonlinear Superposition Between Lump Waves and Other Nonlinear Waves of the (2+1)-Dimensional Extended Korteweg-De Vries Equation

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Abstract

In this study, we consider an extended (2+1)-dimensional KdV equation, which is used to simulate the propagation and evolution of nonlinear waves. Based on the N-soliton solutions, a new constraint is imposed on the parameters, and the novel nonlinear superposition for the lump wave with solitons, breathers of the equation are studied by combining the long wave limit and the complex conjugate of the parameters. Furthermore, with the aid of the velocity resonance method, the lump-soliton molecule and the interaction solution of the molecule and soliton are obtained. The physical dynamics of these solutions are illustrated in the form of graphical illustrations.

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Funding

Funding was provided by the Scientific Research Foundation of the Education Department of Sichuan Province, China (Grant No. 15ZB0362), and Scientific Research Foundation of Engineering and Technical College of Chengdu University of Technology (Grant No. C122022022).

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Authors and Affiliations

  1. The Engineering and Technical College of Chengdu University of Technology, Leshan, 614000, China

    Jie Zhong, Zhimin Ma, Binji Wang & Yuanlin Liu

  2. Southwestern Institute of Physics, Chengdu, 610225, China

    Zhimin Ma

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  1. Jie Zhong
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Jie Zhong was responsible for writing the original manuscript and applying the methods. Zhimin Ma was in charge of supervision and formal analysis. Bingji Wang and Yuanlin Liu were responsible for software.

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Zhong, J., Ma, Z., Wang, B. et al. Nonlinear Superposition Between Lump Waves and Other Nonlinear Waves of the (2+1)-Dimensional Extended Korteweg-De Vries Equation. Int J Theor Phys 62, 268 (2023). https://doi.org/10.1007/s10773-023-05524-4

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