On the Power Series Method for Solitons and Peakons of Nonlinear PDE
Year: 2024
Type: conference-paper
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.
Authors: Erika Olivares, Vesselin Vatchev
Institution: The University of Texas Rio Grande Valley
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405537911