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

892 Views Research reports

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.

Article DOI & Crossmark Data

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

Article Subject Details


Article Keywords Details



Article File

Full Text PDF





More Article by Md Khorshed Alam

Determination of the rich structural wave dynamic solutions to the caudrey–dodd–gibbon equation and the lax equation

This article addresses the implementation of the new generalized (g'∕g)-expansion method to the caudrey–dodd–gibbon (cdg) equation and the lax equation which are associated with th...

Abundant wave solutions of the boussinesq equation and the (2+ 1)-dimensional extended shallow water wave equation

In this article, we establish the exact wave solutions of the boussinesq equation and the (2 + 1)-dimensional extended shallow water wave equation by applying the new generalized (...