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Infinitely many conservation laws, multi-wave solutions and interaction for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 اسفند 1403 اصل مقاله (14.59 M) | ||
| 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 method؛ multi-wave solutions | ||
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آمار تعداد مشاهده مقاله: 27 تعداد دریافت فایل اصل مقاله: 109 |
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