2022 Solitary Wave Solutions of Nonlinear Integro-Partial Differential Equations of 2+1-Dimensional and Its Models
Daba Meshesha Gusu, Shelama Diro
Author Affiliations +
Int. J. Differ. Equ. 2022: 1-46 (2022). DOI: 10.1155/2022/9954649

Abstract

The findings indicate an application of a new method of expansion of the forms Z'/Z and 1/Z to determine the solutions for wave of the solitary nature in the 2+1-dimensional modified form for nonlinear integro-partial differential equations. By using this strategy, we acquired solutions of wave which has a solitary nature that have been solved for three different kinds: hyperbolic, trigonometric, and rational functions. As a result, we obtained different forms of solutions which are new, effective, and powerful to illustrate the solitary nature of waves. The physical and geometrical interpretations have been shown using software in 2 and 3-dimensional surfaces. The obtained results have applications in mathematical and applied sciences. It can also solve different nonlinear integro-partial differential equations which have different applications in physical phenomena using this new method. It has many applications to solve the nonlinear nature of the physical world.

Citation

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Daba Meshesha Gusu. Shelama Diro. "Solitary Wave Solutions of Nonlinear Integro-Partial Differential Equations of 2+1-Dimensional and Its Models." Int. J. Differ. Equ. 2022 1 - 46, 2022. https://doi.org/10.1155/2022/9954649

Information

Received: 18 November 2021; Revised: 20 January 2022; Accepted: 18 March 2022; Published: 2022
First available in Project Euclid: 28 July 2022

MathSciNet: MR4434302
zbMATH: 1500.35250
Digital Object Identifier: 10.1155/2022/9954649

Rights: Copyright © 2022 Hindawi

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