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New exact solutions for a generalized KdV equation

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Abstract

In this paper, we establish a triple-order complete discrimination system to derive the traveling wave solutions of the generalized KdV equation with high power nonlinearities, which consist of solitary patterns solutions, compactons solutions, periodic solutions and Jacobi elliptic functions solutions.

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Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, China

    Lingfei Li, Yingying Xie & Shihui Zhu

Authors
  1. Lingfei Li
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  2. Yingying Xie
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  3. Shihui Zhu
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Corresponding author

Correspondence to Yingying Xie.

Additional information

Supported by National Natural Science Foundation of P.R.China (11501395) and The Sichuan Province Fund for Distinguished Young Scholars (2014JQ0039).

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Li, L., Xie, Y. & Zhu, S. New exact solutions for a generalized KdV equation. Nonlinear Dyn 92, 215–219 (2018). https://doi.org/10.1007/s11071-018-4050-3

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  • DOI: https://doi.org/10.1007/s11071-018-4050-3

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