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

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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Institutions

Publication Details

Journal
Journal of low frequency noise, vibration and active control
Published
2024-11-19
DOI
https://doi.org/10.1177/14613484241301478
Citations
1
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.28
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article

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

Mahmoud A. E. Abdelrahman, Mohammed Bakheet Almatrafi
1 citations
Journal of low frequency noise, vibration and active control
Nonlinear Waves and Solitons
0.28
article

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

Mahmoud A. E. Abdelrahman, Mohammed Bakheet Almatrafi
article en
1 citations

Abstract

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.

Journal of low frequency noise, vibration and active controlVol. 44(2)
Mansoura University (EG), Taibah University (SA)
Openalex Percentile: Top 43%
Nonlinear Waves and Solitons
0.28
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