The Short Pulse Equation Is Integrable

@article{Sakovich2005TheSP,
  title={The Short Pulse Equation Is Integrable},
  author={A. Sakovich and S. Sakovich},
  journal={Journal of the Physical Society of Japan},
  year={2005},
  volume={74},
  pages={239-241}
}
  • A. Sakovich, S. Sakovich
  • Published 2005
  • 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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