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Variational approach to solitons of nonlinear dispersive K(m,n) equations

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  • Xu, Lan

Abstract

Via He’s semi-inverse method, a variational principle is established for the nonlinear dispersive K(m,n) equations. Based on this formulation, a solitary solution can be easily obtained using Ritz method. The present paper provides a new approach to the search for wave solutions including solitions, compactons and periodic solutions.

Suggested Citation

  • Xu, Lan, 2008. "Variational approach to solitons of nonlinear dispersive K(m,n) equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 137-143.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:1:p:137-143
    DOI: 10.1016/j.chaos.2006.08.016
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    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. 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. Inc, Mustafa, 2006. "New exact solitary pattern solutions of the nonlinearly dispersive R(m,n) equations," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 499-505.
    5. 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.
    6. Zhu, Yonggui & Lü, Zhuosheng, 2006. "New exact solitary-wave special solutions for the nonlinear dispersive K(m,n) equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 836-842.
    7. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
    8. Zhu, Yonggui & Gao, Xiaoshan, 2006. "Exact special solitary solutions with compact support for the nonlinear dispersive K(m,n) equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 487-493.
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