J. Phys. Soc. Jpn. 74 (2005) pp. 239-241 |Next Article| |Table of Contents|
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Letters
The Short Pulse Equation Is Integrable
Anton Sakovich and
Sergei Sakovich1
Department of Physics, Belarusian State University, 220080 Minsk, Belarus
1Institute of Physics, National Academy of Sciences, 220072 Minsk, Belarus
(Received September 22, 2004)
We prove that the Schäfer–Wayne short pulse equation (SPE), which describes the propagation of ultrashort optical pulses in nonlinear media, is integrable. First, we discover a Lax pair of the SPE that is found to be of the Wadati–Konno–Ichikawa type. Second, we construct a chain of transformations that relates the SPE with the sine-Gordon equation.
©2005 The Physical Society of Japan
URL:
http://jpsj.ipap.jp/link?JPSJ/74/239/
DOI: 10.1143/JPSJ.74.239
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