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Rational Solutions for the (2 + 1)‐Dimensional Modified KdV‐CBS Equation

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  • Yan Li
  • Temuer Chaolu
  • Yuexing Bai

Abstract

In this paper, with the help of symbolic computation, three types of rational solutions for the (2 + 1)‐dimensional modified KdV‐Calogero‐Bogoyavlenkskii‐Schiff equation are derived. By means of the truncated Painlevé expansion, we show that the (2 + 1)‐dimensional modified KdV‐Calogero‐Bogoyavlenkskii‐Schiff equation can be written as a trilinear‐linear equation, from which we get explicit representation for rational solutions of the (2 + 1)‐dimensional modified KdV‐Calogero‐Bogoyavlenkskii‐Schiff equation.

Suggested Citation

  • Yan Li & Temuer Chaolu & Yuexing Bai, 2019. "Rational Solutions for the (2 + 1)‐Dimensional Modified KdV‐CBS Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:6342042
    DOI: 10.1155/2019/6342042
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    References listed on IDEAS

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    1. Marianna Ruggieri, 2012. "Kink Solutions for a Class of Generalized Dissipative Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, November.
    2. Marianna Ruggieri, 2012. "Kink Solutions for a Class of Generalized Dissipative Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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