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Exact travelling wave solutions for some important nonlinear physical models

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Abstract

The two-dimensional nonlinear physical models and coupled nonlinear systems such as Maccari equations, Higgs equations and Schrödinger–KdV equations have been widely applied in many branches of physics. So, finding exact travelling wave solutions of such equations are very helpful in the theories and numerical studies. In this paper, the Kudryashov method is used to seek exact travelling wave solutions of such physical models. Further, three-dimensional plots of some of the solutions are also given to visualize the dynamics of the equations. The results reveal that the method is a very effective and powerful tool for solving nonlinear partial differential equations arising in mathematical physics.

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Authors and Affiliations

  1. School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW, 2522, Australia

    JONU LEE

  2. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, South Korea

    RATHINASAMY SAKTHIVEL

Authors
  1. JONU LEE
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  2. RATHINASAMY SAKTHIVEL
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Correspondence to RATHINASAMY SAKTHIVEL.

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LEE, J., SAKTHIVEL, R. Exact travelling wave solutions for some important nonlinear physical models. Pramana - J Phys 80, 757–769 (2013). https://doi.org/10.1007/s12043-013-0520-9

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  • DOI: https://doi.org/10.1007/s12043-013-0520-9

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