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arXiv · 1205.1343

Higher-order corrections to the short-pulse equation

Levent Kurt·Yeojin Chung·Tobias Schaefer
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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.

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Levent Kurt, Yeojin Chung, Tobias Schaefer. 2012-05-07. Higher-order corrections to the short-pulse equation. https://doi.org/10.1088/1751-8113/46/28/285205

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