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Darboux transformation and soliton solutions for Boussinesq–Burgers equation

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  • Chen, Aihua
  • Li, Xuemei

Abstract

In this paper, we present a new Darboux transformation with multi-parameters for Boussinesq–Burgers equation. By applying the Darboux transformation, we obtain new soliton solutions of the Boussinesq–Burgers soliton equation.

Suggested Citation

  • Chen, Aihua & Li, Xuemei, 2006. "Darboux transformation and soliton solutions for Boussinesq–Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 43-49.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:1:p:43-49
    DOI: 10.1016/j.chaos.2004.09.116
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    Cited by:

    1. Park, Sangbeom & Kim, Philsu & Jeon, Yonghyeon & Bak, Soyoon, 2022. "An economical robust algorithm for solving 1D coupled Burgers’ equations in a semi-Lagrangian framework," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    2. Geng, Tao & Shan, Wen-Rui & Lü, Xing & Cai, Ke-Jie & Zhang, Cheng & Tian, Bo, 2009. "New solitary solutions and non-elastic interactions of the (2+1)-dimensional variable-coefficient Broer–Kaup system with symbolic computation," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2230-2235.

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