Power Series Solution for Korteweg-de Vries Equation

F. S. Costa, J. C. A. Soares, G. L. Araujo, M. V. S. Sousa

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.


Keywords


KdV equation, similarity method, power series solution.

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

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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