A reliable technique for nonlinear evolution equations with applications in mathematical physics

被引:1
|
作者
Abdelrahman, Mahmoud A. E. [1 ,2 ]
Almatrafi, Mohammed B. [1 ]
机构
[1] Taibah Univ, Coll Sci, Dept Math, Al Madinah Al Munawarah 42353, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt
关键词
Subequation method; unified solver; solitary wave solutions; physical applications; SCHRODINGER-EQUATION; WAVE SOLUTIONS;
D O I
10.1177/14613484241301478
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This study presents a reliable and precise solver for solving several kinds of nonlinear evolution equations. The subequation approach is the basic ingredient of this solver. In this regard, a solver is created to precisely resolve and depict the nonlinear evolution equations' whole wave structures. This analysis offers the whole information obtained in the representation of solutions to these equations. The robust solver offers hyperbolic, trigonometric, and rational forms of solutions. A set of test problems drawn from the literature are provided in order to validate the accuracy of the proposed solver. The solutions that were discovered could be useful for a vital recent applied science observations. The method that was demonstrated is a tool that mathematics, engineers, and physicists can use as a box solver. Theoretical analysis and reported solutions show that the suggested solver is suitable and efficacious.
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页数:11
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