Power Series Solution for Korteweg-de Vries Equation

Authors

DOI:

https://doi.org/10.5540/tcam.2024.025.e01502

Keywords:

KdV equation, similarity method, power series solution.

Abstract

We apply the similarity method to the Korteweg-de Vries equation, where we obtain a new equation, in terms of similarity variable. We use the power series method, getting the similarity solution, which is exemplified graphically by particular cases.

Author Biographies

F. S. Costa, State University of Maranhão

Departament of Mathematics and Informatics

J. C. A. Soares, State University of Mato Grosso

Department of Mathematics

G. L. Araujo, State University of Campinas

Department of Applied Mathematics

M. V. S. Sousa, State University of Campinas

Department of Applied Mathematics

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Published

2024-04-30

How to Cite

Costa, F. S., Soares, J. C. A., Araujo, G. L., & Sousa, M. V. S. (2024). Power Series Solution for Korteweg-de Vries Equation. Trends in Computational and Applied Mathematics, 25(1), e01502. https://doi.org/10.5540/tcam.2024.025.e01502

Issue

Vol. 25 No. 1 (2024)

Section

Original Article

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