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Solutions and conservation laws of Benjamin–Bona–Mahony–Peregrine equation with power-law and dual power-law nonlinearities

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Abstract

In this paper, exact solutions of Benjamin–Bona–Mahony–Peregrine equation are obtained with power-law and dual power-law nonlinearities. The Lie group analysis as well as the simplest equation method are used to carry out the integration of these equations. The solutions obtained are cnoidal waves, periodic solutions and soliton solutions. Subsequently, the conservation laws are derived for the underlying equations.

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Acknowledgement

CMK would like to thank the North-West University, Mafikeng Campus, for its continued support.

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Authors and Affiliations

  1. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho, 2735, Republic of South Africa

    CHAUDRY MASOOD KHALIQUE

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  1. CHAUDRY MASOOD KHALIQUE
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Correspondence to CHAUDRY MASOOD KHALIQUE.

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KHALIQUE, C.M. Solutions and conservation laws of Benjamin–Bona–Mahony–Peregrine equation with power-law and dual power-law nonlinearities. Pramana - J Phys 80, 413–427 (2013). https://doi.org/10.1007/s12043-012-0489-9

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  • DOI: https://doi.org/10.1007/s12043-012-0489-9

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