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}
}
  • A. SakovichS. Sakovich
  • Published 19 September 2004
  • Physics, Mathematics
  • Journal of the Physical Society of Japan
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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