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Classification of All Single Travelling Wave Solutions to Calogero-Degasperis-Focas Equation
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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 inho-mogeneous 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.
classification of travelling wave solutionsymmetry groupCalogero-Degasperis-Focas equation
LIU Cheng-Shi
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Department of Mathematics, Daqing Petroleum Institute, Daqing 163318, China
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NSTL
