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A study of a generalized first extended (3+1)-dimensional Jimbo-Miwa equation

  • * Corresponding author: Chaudry Masood Khalique

    * Corresponding author: Chaudry Masood Khalique 
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  • This paper aims to study a generalized first extended (3+1)- dimensional Jimbo-Miwa equation. Symmetry reductions on this equation are performed several times and it is reduced to a nonlinear fourth-order ordinary differential equation. The general solution of this ordinary differential equation is found in terms of the incomplete elliptic integral function. Also exact solutions are constructed using the $ ({G'}/{G})- $expansion method. Thereafter the conservation laws of the underlying equation are computed by invoking the conservation theorem due to Ibragimov. The conservation laws obtained contain an energy conservation law and three momentum conservation laws.

    Mathematics Subject Classification: Primary: 34A05, 35B06; 35L65; Secondary: 70H33.


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