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Mathanaranjan, Thilagarajah. (1405). Infinitely many conservation laws, multi-wave solutions, and interactions for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations. سامانه مدیریت نشریات علمی, 14(2), 754-765. doi: 10.22034/cmde.2024.62458.2753
Thilagarajah Mathanaranjan. "Infinitely many conservation laws, multi-wave solutions, and interactions for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations". سامانه مدیریت نشریات علمی, 14, 2, 1405, 754-765. doi: 10.22034/cmde.2024.62458.2753
Mathanaranjan, Thilagarajah. (1405). 'Infinitely many conservation laws, multi-wave solutions, and interactions for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations', سامانه مدیریت نشریات علمی, 14(2), pp. 754-765. doi: 10.22034/cmde.2024.62458.2753
Mathanaranjan, Thilagarajah. Infinitely many conservation laws, multi-wave solutions, and interactions for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations. سامانه مدیریت نشریات علمی, 1405; 14(2): 754-765. doi: 10.22034/cmde.2024.62458.2753

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

Computational Methods for Differential Equations
مقاله 17، دوره 14، شماره 2، تیر 2026، صفحه 754-765    اصل مقاله (473.69 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.62458.2753
نویسنده
Thilagarajah Mathanaranjan*
Department of Mathematics and Statistics, University of Jaffna, Sri Lanka.
چکیده
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.
کلیدواژه‌ها
(2+1)-dimensional cmKdV system of equations؛ Lax pair؛ Infinitely many conservation laws؛ Logarithmic transformation؛ Multi-wave solutions
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