Md Khorshed Alam

Kink and periodic solutions to the jimbo-miwa equation and the calogero-bogoyavlenskii-schiff equation

  • Authors Details :  
  • Md Dulal Hossain,  
  • Ummey Kulsum,  
  • Md Khorshed Alam,  
  • M Ali Akbar

Journal title : JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES

Publisher : Journal of Mechanics of Continua and Mathematical Sciences

Online ISSN : 2454-7190

Journal volume : 13

Journal issue : 5

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In this article, we form the exact wave solutions of the Jimbo-Miwa equation and the Calogero-Bogoyavlenskii-Schiff equation by applying the new generalized (G'/G)-expansion method. We explained the new generalized (G'/G)-expansion method to look for more general traveling wave solutions of the above mentioned equations. The traveling wave solutions attained by this method are in terms of hyperbolic, trigonometric and rational functions. The graphical representation of the obtained solutions is kink soliton, singular kink soliton, singular soliton and singular periodic solution. This method is very significant for extracting exact solutions of NLEEs which habitually occur in mathematical physics, engineering sciences and applied mathematics.

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DOI : https://doi.org/10.26782/jmcms.2018.10.00005

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