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Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation

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  • Yali Shen
  • Ying Yang
  • Zuonong Zhu

Abstract

In this article, a generalized (3 + 1)-dimensional nonlinear evolution equation (NLEE), which can be obtained by a multivariate polynomial, is investigated. Based on the Hirota bilinear method, the N-soliton solution and bilinear Bäcklund transformation (BBT) with explicit formulas are successfully constructed. By using BBT, two traveling wave solutions and a mixed solution of the generalized (3 + 1)-dimensional NLEE are obtained. Furthermore, the lump and the interaction solutions for the equation are constructed. Finally, the dynamic properties of the lump and the interaction solutions are described graphically.

Suggested Citation

  • Yali Shen & Ying Yang & Zuonong Zhu, 2022. "Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-12, January.
    • Handle: RePEc:hin:jnddns:5598381
    DOI: 10.1155/2022/5598381
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