Higher-order corrections to the short-pulse equation
Exactly Solvable and Integrable Systems
2015-06-05 v1 Pattern Formation and Solitons
Abstract
Using renormalization group techniques, we derive an extended short- pulse equation as approximation to a nonlinear wave equation. We investigate the new equation numerically and show that the new equation captures efficiently higher- order effects on pulse propagation in cubic nonlinear media. We illustrate our findings using one- and two-soliton solutions of the first-order short-pulse equation as initial conditions in the nonlinear wave equation.
Keywords
Cite
@article{arxiv.1205.1343,
title = {Higher-order corrections to the short-pulse equation},
author = {Levent Kurt and Yeojin Chung and Tobias Schaefer},
journal= {arXiv preprint arXiv:1205.1343},
year = {2015}
}