The classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation

@article{Liu2006TheCO,
  title={The classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation},
  author={Chengshi Liu},
  journal={arXiv: Exactly Solvable and Integrable Systems},
  year={2006}
}
  • Chengshi Liu
  • Published 12 October 2006
  • Mathematics
  • arXiv: Exactly Solvable and Integrable Systems
Under the travelling wave transformation, Calogero-Degasperis-Focas equation was reduced to an ordinary differential equation. Using a symmetry group of one-parameter, this ODE was reduced to a second order linear inhomogeneous ODE. Furthermore, we applied the change of the variable and complete discrimination system for polynomial to solve the corresponding integrals and obtained the classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation. 
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