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

Downloads

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

License

Copyright

Authors of articles published in the journal Trends in Computational and Applied Mathematics retain the copyright of their work. The journal uses Creative Commons Attribution (CC-BY) in published articles. The authors grant the TCAM journal the right to first publish the article.

Intellectual Property and Terms of Use

The content of the articles is the exclusive responsibility of the authors. The journal uses Creative Commons Attribution (CC-BY) in published articles. This license allows published articles to be reused without permission for any purpose as long as the original work is correctly cited.

The journal encourages Authors to self-archive their accepted manuscripts, publishing them on personal blogs, institutional repositories, and social media, as long as the full citation is included in the journal's website version.