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New Generalized Soliton Solutions for a (3 + 1)‐Dimensional Equation

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  • Yiren Chen

Abstract

In this paper, we investigate the nonlinear wave solutions for a (3 + 1)‐dimensional equation which can be reduced to the potential KdV equation. We present generalized N‐soliton solutions in which some arbitrarily differentiable functions are involved by using a simplified Hirota’s method. Our work extends some previous results.

Suggested Citation

  • Yiren Chen, 2020. "New Generalized Soliton Solutions for a (3 + 1)‐Dimensional Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:7640717
    DOI: 10.1155/2020/7640717
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    References listed on IDEAS

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    1. Tian, Shou-Fu & Zhang, Hong-Qing, 2013. "Riemann theta functions periodic wave solutions and rational characteristics for the (1+1)-dimensional and (2+1)-dimensional Ito equation," Chaos, Solitons & Fractals, Elsevier, vol. 47(C), pages 27-41.
    2. Chen, Yiren & Liu, Rui, 2015. "Some new nonlinear wave solutions for two (3+1)-dimensional equations," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 397-411.
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