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Travelling wave solutions of the generalized Benjamin–Bona–Mahony equation

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  • Estévez, P.G.
  • Kuru, Ş.
  • Negro, J.
  • Nieto, L.M.

Abstract

A class of particular travelling wave solutions of the generalized Benjamin–Bona–Mahony equation is studied systematically using the factorization technique. Then, the general travelling wave solutions of Benjamin–Bona–Mahony equation, and of its modified version, are also recovered.

Suggested Citation

  • Estévez, P.G. & Kuru, Ş. & Negro, J. & Nieto, L.M., 2009. "Travelling wave solutions of the generalized Benjamin–Bona–Mahony equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2031-2040.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:4:p:2031-2040
    DOI: 10.1016/j.chaos.2007.09.080
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    References listed on IDEAS

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    1. Wazwaz, Abdul-Majid, 2008. "The extended tanh method for new compact and noncompact solutions for the KP–BBM and the ZK–BBM equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1505-1516.
    2. Abdou, M.A., 2007. "The extended F-expansion method and its application for a class of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 95-104.
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    5. Tang, Yaning & Xu, Wei & Gao, Liang & Shen, Jianwei, 2007. "An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1846-1852.
    6. Wazwaz, Abdul-Majid & Helal, M.A., 2005. "Nonlinear variants of the BBM equation with compact and noncompact physical structures," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 767-776.
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    Cited by:

    1. Hashemi, M.S., 2021. "A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Kuru, S., 2009. "Compactons and kink-like solutions of BBM-like equations by means of factorization," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 626-633.

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