On the Power Series Method for Solitons and Peakons of Nonlinear PDE

Authors

Erika Olivares, The University of Texas Rio Grande Valley
Vesselin Vatchev, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

12-18-2024

Abstract

In this paper we discuss the power series method to obtain traveling wave solutions of nonlinear PDE in one space variable. The method, including a recursive procedure for the coefficients and error estimate for the partial sums, is presented for the Camassa-Holm equation. Numerical examples of approximate single soliton and single peakon solutions are included.

Comments

Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Recommended Citation

Olivares, Erika, and Vesselin Vatchev. "On the Power Series Method for Solitons and Peakons of Nonlinear PDE." In Journal of Physics: Conference Series, vol. 2910, no. 1, p. 012020. IOP Publishing, 2024. http://doi.org/10.1088/1742-6596/2910/1/012020

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Journal of Physics: Conference Series

DOI

10.1088/1742-6596/2910/1/012020