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Solitary wave solutions to the modified form of Camassa–Holm equation by means of the homotopy analysis method

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  • Abbasbandy, S.

Abstract

Solitary wave solutions to the modified form of Camassa–Holm (CH) equation are sought. In this work, the homotopy analysis method (HAM), one of the most effective method, is applied to obtain the soliton wave solutions with and without continuity of first derivatives at crest.

Suggested Citation

  • Abbasbandy, S., 2009. "Solitary wave solutions to the modified form of Camassa–Holm equation by means of the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 428-435.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:428-435
    DOI: 10.1016/j.chaos.2007.04.007
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    1. Shen, Jianwei & Xu, Wei & Li, Wei, 2006. "Bifurcations of travelling wave solutions in a new integrable equation with peakon and compactons," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 413-425.
    2. Wu, Wan & Liao, Shi-Jun, 2005. "Solving solitary waves with discontinuity by means of the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 177-185.
    3. Tan, Yue & Xu, Hang & Liao, Shi-Jun, 2007. "Explicit series solution of travelling waves with a front of Fisher equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 462-472.
    4. Parkes, E.J. & Vakhnenko, V.O., 2005. "Explicit solutions of the Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1309-1316.
    5. Chen, Can & Tang, Minying, 2006. "A new type of bounded waves for Degasperis–Procesi equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 698-704.
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    Cited by:

    1. Alomari, A.K. & Noorani, M.S.M. & Nazar, R., 2009. "On the homotopy analysis method for the exact solutions of Helmholtz equation," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1873-1879.
    2. Hayat, T. & Abbas, Z. & Javed, T. & Sajid, M., 2009. "Three-dimensional rotating flow induced by a shrinking sheet for suction," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1615-1626.

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