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Exact solitary-wave solutions with compact support for the modified KdV equation

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  • Zhu, Yonggui
  • Chang, Qianshun
  • Wu, Shengchang

Abstract

In this paper, the modified KdV equation, ut+u2ux+uxxx=0, which exhibits compactons: solitons with compact support, is investigated. New solitary solutions with compact support are developed by using the decomposition method and symbolic computation system, Maple.

Suggested Citation

  • Zhu, Yonggui & Chang, Qianshun & Wu, Shengchang, 2005. "Exact solitary-wave solutions with compact support for the modified KdV equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 365-369.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:365-369
    DOI: 10.1016/j.chaos.2004.09.041
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    Cited by:

    1. Ilison, Lauri & Salupere, Andrus, 2009. "Propagation of sech2-type solitary waves in hierarchical KdV-type systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(11), pages 3314-3327.
    2. Mawia Osman & Yonghui Xia & Omer Abdalrhman Omer & Ahmed Hamoud, 2022. "On the Fuzzy Solution of Linear-Nonlinear Partial Differential Equations," Mathematics, MDPI, vol. 10(13), pages 1-49, June.
    3. He, Ji-Huan & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
    4. Jin-Shun, Feng & Ming-Pu, Guo & Deyou, Yuan, 2009. "The presentation of explicit analytical solutions of a class of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2422-2428.
    5. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    6. Zhu, Yonggui & Tong, Kang & Chaolu, Temuer, 2007. "New exact solitary-wave solutions for the K(2,2,1) and K(3,3,1) equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1411-1416.
    7. Kangalgil, Figen & Ayaz, Fatma, 2009. "Solitary wave solutions for the KdV and mKdV equations by differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 464-472.

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