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Exact solutions of some physical models using the (G′/G)-expansion method

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Abstract

The (G′/G)-expansion method and its simplified version are used to obtain generalized travelling wave solutions of five nonlinear evolution equations (NLEEs) of physical importance, viz. the (2+1)-dimensional Maccari system, the Pochhammer–Chree equation, the Newell–Whitehead equation, the Fitzhugh–Nagumo equation and the Burger–Fisher equation. A variety of special solutions like periodic, kink–antikink solitons, bell-type solitons etc. can easily be derived from the general results. Three-dimensional profile plots of some of the solutions are also drawn.

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Authors and Affiliations

  1. Department of Physics, Kurukshetra University, Kurukshetra, 136 119, India

    ANAND MALIK, FAKIR CHAND, HITENDER KUMAR & S C MISHRA

Authors
  1. ANAND MALIK
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  2. FAKIR CHAND
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  3. HITENDER KUMAR
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  4. S C MISHRA
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Correspondence to FAKIR CHAND.

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MALIK, A., CHAND, F., KUMAR, H. et al. Exact solutions of some physical models using the (G′/G)-expansion method. Pramana - J Phys 78, 513–529 (2012). https://doi.org/10.1007/s12043-011-0253-6

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  • DOI: https://doi.org/10.1007/s12043-011-0253-6

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