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Differential form method for finding symmetries of a (2+1)-dimensional Camassa–Holm system based on its Lax pair

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  • Lv, Na
  • Mei, Jian-Qin
  • Zhang, Hong-Qing

Abstract

In this paper, we use the differential form method to seek Lie point symmetries of a (2+1)-dimensional Camassa–Holm (CH) system based on its Lax pair. Then we reduce both the system and its Lax pair with the obtained symmetries, as a result some reduced (1+1)-dimensional equations with their new Lax pairs are presented. At last, the conservation laws for the CH system are derived from a direct method.

Suggested Citation

  • Lv, Na & Mei, Jian-Qin & Zhang, Hong-Qing, 2012. "Differential form method for finding symmetries of a (2+1)-dimensional Camassa–Holm system based on its Lax pair," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 503-506.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:4:p:503-506
    DOI: 10.1016/j.chaos.2012.01.010
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    References listed on IDEAS

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    1. Kamdem, J. Sadefo & Qiao, Zhijun, 2007. "Decomposition method for the Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 437-447.
    2. Gordoa, P.R. & Pickering, A. & Senthilvelan, M., 2006. "A note on the Painlevé analysis of a (2+1) dimensional Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1281-1284.
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    Cited by:

    1. Bruzón, M.S. & Garrido, T.M. & de la Rosa, R., 2016. "Conservation laws and exact solutions of a Generalized Benjamin–Bona–Mahony–Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 578-583.

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