Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2006-10-12
Nonlinear Sciences
Exactly Solvable and Integrable Systems
9 pages
Scientific paper
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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