The Short Pulse Equation Is Integrable

2005318 citationsJournal Articlegreen Open Access

Authors

Anton Sakovich · Belarusian State University

Sergei Sakovich · National Academy of Sciences of Belarus

Abstract

We prove that the Schafer-Wayne short pulse equation (SPE) which describes the propagation of ultra-short optical pulses in nonlinear media is integrable. First, we discover a Lax pair of the SPE which turns out to be of the Wadati-Konno-Ichikawa type. Second, we construct a chain of transformations which relates the SPE with the sine-Gordon equation.

Topics & Keywords

Nonlinear Waves and Solitons Nonlinear Photonic Systems Molecular spectroscopy and chirality

Publication Details

Published in: Journal of the Physical Society of Japan

Volume 74, Issue 1, pp. 239-241

DOI: 10.1143/jpsj.74.239

Field-Weighted Citation Impact: 5.42

Command Palette

The Short Pulse Equation Is Integrable

Authors

Abstract

Topics & Keywords

Publication Details