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Exact singular and non-singular solitary-wave solutions for Kadomtsev–Petviashvili equation with p-power of nonlinearity

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  • Dai, Zhengde
  • Huang, Ying
  • Sun, Xing
  • Li, Donglong
  • Hu, Zhenhua

Abstract

Exact solitary-wave, kink wave and singular solitary-wave solutions for Kadomtsev–Petviashvili (KP) equation with p-power (p>1) of nonlinearity are obtained using a novel auxiliary equation and homogeneous balance method.

Suggested Citation

  • Dai, Zhengde & Huang, Ying & Sun, Xing & Li, Donglong & Hu, Zhenhua, 2009. "Exact singular and non-singular solitary-wave solutions for Kadomtsev–Petviashvili equation with p-power of nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 946-951.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:946-951
    DOI: 10.1016/j.chaos.2007.08.050
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    References listed on IDEAS

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    1. Ma, Zheng-Yi & Wu, Xiao-Fei & Zhu, Jia-Min, 2007. "Multisoliton excitations for the Kadomtsev–Petviashvili equation and the coupled Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 648-657.
    2. Dai, Zhengde & Li, Shaolin & Dai, Qingyun & Huang, Jian, 2007. "Singular periodic soliton solutions and resonance for the Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1148-1153.
    3. Dai, Zhengde & Huang, Jian & Jiang, Murong & Wang, Shenghua, 2005. "Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1189-1194.
    4. Xu, Guiqiong, 2006. "The soliton solutions, dromions of the Kadomtsev–Petviashvili and Jimbo–Miwa equations in (3+1)-dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 71-76.
    5. Zhu, Junyi & Geng, Xianguo, 2007. "The generalized dressing method with applications to variable-coefficient coupled Kadomtsev–Petviashvili equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1143-1148.
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    Cited by:

    1. Da-Quan, Xian & Zheng-De, Dai, 2009. "Application of Exp-function method to potential Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2653-2659.

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