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Solitary Solution of Jimbo–Miwa Equation by the Modified Extended and Multiple Exp-Function Methods

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Abstract

One of the topics of curiosity in recent years in miscellaneous sciences such as physics and engineering is to attain analytical answers to evolution equations. In the meantime, soliton and multiple solutions are of great vitality. The multiple exp-function method is a principled method for achieving these kinds of results. By using the various definitions for the general form of a solution in this method, it is possible to obtain multi-soliton solutions comprehensively. In the current work, the multiple and modified extended Exp function methods have been applied to achieve the rational and soliton solution of the Jimbo–Miwa equation. Therefore, we were successful in finding the solutions of one, two, and three-soliton respectively. The outcomes can be used as a criterion for attaining soliton solutions to other equations, as well as for various fields of science and physics. The diagram of the obtained results indicates that algorithmical methods are an effective and reliable technique for achieving multiple and rational solutions differential equations.

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Authors and Affiliations

  1. Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, Rudsar-Vajargah, 44891-63157, Iran

    Z. Ayati & A. Badiepour

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  1. Z. Ayati
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Ayati, Z., Badiepour, A. Solitary Solution of Jimbo–Miwa Equation by the Modified Extended and Multiple Exp-Function Methods. Int. J. Appl. Comput. Math 9, 1 (2023). https://doi.org/10.1007/s40819-022-01447-6

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