Dressing Method for the Degasperis-Procesi Equation

@article{Constantin2016DressingMF,
  title={Dressing Method for the Degasperis-Procesi Equation},
  author={Adrian Constantin and R. Ivanov},
  journal={Studies in Applied Mathematics},
  year={2016},
  volume={138},
  pages={205-226}
}
The soliton solutions of the Degasperis–Procesi equations are constructed by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form obtained by Hirota's method. 
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We classify all weak traveling wave solutions of the Degasperis-Procesi equation. In addition to smooth and peaked solutions, the equation is shown to admit more exotic traveling waves such asExpand
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The Degasperis-Procesi equation can be derived as a member of a oneparameter family of asymptotic shallow water approximations to the Euler equations with the same asymptotic accuracy as that of theExpand
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