Infinitely many conservation laws, multi-wave solutions, and interactions for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations

Document Type : Research Paper

Author

Department of Mathematics and Statistics, University of Jaffna, Sri Lanka.

Abstract

In this paper, we consider the (2+1)-dimensional complex modified Korteweg-de Vries (cmKdV) system of equations. This system of equations is a generalization of the cmKdV equation in the (2+1)-dimension and has great significance in the fields of applied magnetism and nanophysics. On the basis of the Lax pair, infinitely many conservation laws are obtained. In addition, the multi-waves, homoclinic breather, rational, and interactions solutions of this equation are derived with the aid of logarithmic transformation and symbolic computation. For the suitable value of parameters, the 3D surfaces of obtained solutions have been plotted using Mathematica.

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References

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Computational Methods for Differential Equations
Volume 14, Issue 2
April 2026
Pages 754-765

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History

  • Receive Date: 12 July 2024
  • Revise Date: 01 December 2024
  • Accept Date: 27 February 2025

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