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

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

Institutions

Publication Details

Journal
Journal of Physics Conference Series
Published
2024-12-01
DOI
https://doi.org/10.1088/1742-6596/2910/1/012020
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Vesselin Vatchev, Elizabeth Olivares
Journal of Physics Conference Series
Nonlinear Waves and Solitons
article

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

Vesselin Vatchev, Elizabeth Olivares
article en

Abstract

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.

Journal of Physics Conference SeriesVol. 2910(1)
The University of Texas Rio Grande Valley (US)
Openalex Percentile: Top 78%
Nonlinear Waves and Solitons
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On the Power Series Method for Solitons and Peakons of Nonlinear PDE — Vesselin Vatchev, Elizabeth Olivares · Journal of Physics Conference Series (2024) | TGRS Research Map | TGRS