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New exact solutions to the generalized KdV equation with generalized evolution

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Abstract

In this paper, by using a transformation and an application of Fan subequation, we study a class of generalized Korteweg–de Vries (KdV) equation with generalized evolution. As a result, more types of exact solutions to the generalized KdV equation with generalized evolution are obtained, which include more general single-hump solitons, multihump solitons, kink solutions and Jacobian elliptic function solutions with double periods.

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Authors and Affiliations

  1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People’s Republic of China

    YONGAN XIE, SHENGQIANG TANG & DAHE FENG

Authors
  1. YONGAN XIE
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  2. SHENGQIANG TANG
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  3. DAHE FENG
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Correspondence to YONGAN XIE.

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XIE, Y., TANG, S. & FENG, D. New exact solutions to the generalized KdV equation with generalized evolution. Pramana - J Phys 78, 499–511 (2012). https://doi.org/10.1007/s12043-012-0262-0

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  • DOI: https://doi.org/10.1007/s12043-012-0262-0

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