Higher-order corrections to the short-pulse equation

被引：8

作者：

Kurt, Levent ^{[1
]}

Chung, Yeojin ^{[2
]}

Schaefer, Tobias ^{[3
]}

机构：

[1] CUNY Queens Coll, Div Math & Nat Sci, Queens, NY USA

[2] So Methodist Univ, Dept Math, Dallas, TX 75275 USA

[3] CUNY Coll Staten Isl, Dept Math, Staten Isl, NY USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2013年 / 46卷 / 28期

关键词：

NONLINEAR MEDIA; OPTICAL PULSES; WAVE SOLUTIONS; PROPAGATION;

D O I：

10.1088/1751-8113/46/28/285205

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using renormalization group techniques, we derive an extended short-pulse equation as an 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.

引用

页数：13

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