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Classification of All Single Travelling Wave Solutions to Calogero–Degasperis–Focas Equation

2007; Institute of Physics; Volume: 48; Issue: 4 Linguagem: Inglês

10.1088/0253-6102/48/4/004

1572-9494

Cheng-shi Liu,

Nonlinear Photonic Systems

Under the travelling wave transformation, Calogero–Degasperis–Focas equation is reduced to an ordinary differential equation. Using a symmetry group of one parameter, this ODE is reduced to a second-order linear inhomogeneous ODE. Furthermore, we apply 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.