Higher-order corrections to the short-pulse equation

Autor: Kurt, Levent, Chung, Yeojin, Schaefer, Tobias
Rok vydání: 2012
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/1751-8113/46/28/285205
Popis: 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.
Databáze: arXiv