2021 Solutions of Two-Dimensional Nonlinear Sine-Gordon Equation via Triple Laplace Transform Coupled with Iterative Method
Alemayehu Tamirie Deresse, Yesuf Obsie Mussa, Ademe Kebede Gizaw
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J. Appl. Math. 2021: 1-15 (2021). DOI: 10.1155/2021/9279022

Abstract

This article presents triple Laplace transform coupled with iterative method to obtain the exact solution of two-dimensional nonlinear sine-Gordon equation (NLSGE) subject to the appropriate initial and boundary conditions. The noise term in this equation is vanished by successive iterative method. The proposed technique has the advantage of producing exact solution, and it is easily applied to the given problems analytically. Four test problems from mathematical physics are taken to show the accuracy, convergence, and the efficiency of the proposed method. Furthermore, the results indicate that the introduced method is promising for solving other type systems of NLPDEs.

Acknowledgments

The authors are grateful to thank Jimma University, College of Natural Sciences, and Department of Mathematics, for providing the necessary resources during conducting this research.

Citation

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Alemayehu Tamirie Deresse. Yesuf Obsie Mussa. Ademe Kebede Gizaw. "Solutions of Two-Dimensional Nonlinear Sine-Gordon Equation via Triple Laplace Transform Coupled with Iterative Method." J. Appl. Math. 2021 1 - 15, 2021. https://doi.org/10.1155/2021/9279022

Information

Received: 29 May 2021; Revised: 27 July 2021; Accepted: 26 August 2021; Published: 2021
First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/9279022

Rights: Copyright © 2021 Hindawi

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