Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 74, Issue 1, Pages 239-241Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.74.239
Keywords
short pulse equation; integrability; WKI-type Lax pair; generalized symmetry; transformations; sine-Gordon equation
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We prove that the Schafer-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.
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