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Exact multisoliton solutions of nonlinear Klein-Gordon equation in 1 + 2 dimensions

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Abstract.

This paper studies the nonlinear generalized Klein-Gordon equation in 1 + 2 dimensions. Exact multisoliton solution of this equation is obtained for the case of quadratic-law nonlinearity by the formal linearization method. Subsequently, exact travelling wave solutions of the generalized forms of Klein-Gordon equations in 1 + 2 dimensions are established by the modification of the truncated expansion method.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

    Mohammad Mirzazadeh

  2. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    Mostafa Eslami

Authors
  1. Mohammad Mirzazadeh
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  2. Mostafa Eslami
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Mirzazadeh, M., Eslami, M. Exact multisoliton solutions of nonlinear Klein-Gordon equation in 1 + 2 dimensions. Eur. Phys. J. Plus 128, 132 (2013). https://doi.org/10.1140/epjp/i2013-13132-y

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  • DOI: https://doi.org/10.1140/epjp/i2013-13132-y

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