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Analytical solutions and conservation laws of a generalized (3+1)-dimensional nonlinear evolution equation appearing in mathematical physics | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 شهریور 1404 اصل مقاله (19.31 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.64331.2913 | ||
| نویسندگان | ||
| Thabo Sylvester Moretlo1؛ Ben Muatjetjeja2؛ Abdullahi Rashid Adem* 3 | ||
| 1Department of Mathematical Sciences, Sol Plaatje University, Private Bag X5008, Kimberly, 8300, Republic of South Africa. | ||
| 2Department of Mathematics, Faculty of Science, University of Botswana, Private Bag 22, Gaborone, Botswana. | ||
| 3Department of Mathematical Sciences, University of South Africa, UNISA 0003, Republic of South Africa. | ||
| چکیده | ||
| In mathematical physics, the study of solutions to nonlinear evolution equations has always been important, especially in the fields of nonlinear optics, fluid dynamics, and condensed matter physics. We study a generalized (3+1)-dimensional nonlinear evolution equation as a key consequence. This underlying equation is discovered to admit an endless number of conservation laws and point symmetries. Traveling wave solutions of physical interest are demonstrated by combining the Lie symmetry method with ansatz techniques. Furthermore, we use the multiplier approach to obtain the underlying equation's infinitely many conservation laws. It is predicted that these findings may be utilized to better understand how nonlinear waves propagate in a range of nonlinear physical systems, such as fluid mechanics and nonlinear optics. The solution dynamics are presented graphically. | ||
| کلیدواژه‌ها | ||
| Extended tan method؛ Extended tanh method؛ Point symmetries؛ Conservation laws | ||
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