# The Short Pulse Equation Is Integrable

@article{Sakovich2004TheSP, title={The Short Pulse Equation Is Integrable}, author={Anton Sakovich and Sergei Sakovich}, journal={Journal of the Physical Society of Japan}, year={2004}, volume={74}, pages={239-241} }

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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