Solitary Wave Solutions of Nonlinear Integro-Partial Differential Equations of 2+1-Dimensional and Its Models

Daba Meshesha Gusu, Shelama Diro and Wen-Xiu Ma

International Journal of Differential Equations, 2022, vol. 2022, 1-46

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:9954649

DOI: 10.1155/2022/9954649

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