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New exact solitary-wave solutions for the K(2,2,1) and K(3,3,1) equations

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  • Zhu, Yonggui
  • Tong, Kang
  • Chaolu, Temuer

Abstract

In this paper, K(2,2,1) equation: ut+(u2)x−(u2)xxx+u5x=0 and K(3,3,1) equation: ut+(u3)x−(u3)xxx+u5x=0, are investigated. New exact solitary solutions are developed by using the decomposition method and symbolic computation system, Maple.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:4:p:1411-1416
    DOI: 10.1016/j.chaos.2006.01.090
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    References listed on IDEAS

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    1. Zhu, Yonggui & Chang, Qianshun & Wu, Shengchang, 2005. "Construction of exact solitary solutions for Boussinesq-like B(m,n) equations with fully nonlinear dispersion by the decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 897-903.
    2. Zhu, Yonggui & Chang, Qianshun & Wu, Shengchang, 2005. "Exact solitary solutions with compact support for the nonlinear dispersive Boussinesq-like B(m,n) equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 407-413.
    3. 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.
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