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Rational solutions to a KdV-like equation

Author

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  • Zhang, Yi
  • Ma, Wen-Xiu

Abstract

Two classes of rational solutions to a KdV-like nonlinear differential equation are constructed. The basic object is a generalized bilinear differential equation based on a prime number p=3. A conjecture is made that the two presented classes of rational solutions contain all rations solutions to the considered KdV-like equation, which are generated from polynomial solutions to the corresponding generalized bilinear equation.

Suggested Citation

  • Zhang, Yi & Ma, Wen-Xiu, 2015. "Rational solutions to a KdV-like equation," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 252-256.
    • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:252-256
    DOI: 10.1016/j.amc.2015.01.027
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    Cited by:

    1. Ni, Wei-Guo & Dai, Chao-Qing, 2015. "Note on same result of different ansätz based on extended tanh-function method for nonlinear models," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 434-440.
    2. Vasquez Campos, Brian D., 2022. "Characterization of rational solutions of a KdV-like equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 396-416.

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