arxiv: 1205.1343 · v1 · pith:YAO2AQ5Fnew · submitted 2012-05-07 · 🌊 nlin.SI · nlin.PS

Higher-order corrections to the short-pulse equation

Levent Kurt , Yeojin Chung , Tobias Schaefer This is my paper

classification 🌊 nlin.SI nlin.PS

keywords equationnonlinearpulseshort-pulsewaveapproximationcapturesconditions

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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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Higher-order corrections to the short-pulse equation

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