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Nonlocal symmetries and interaction solutions for the KdV-type equation
2017
Journal of the Association of Arab Universities for Basic and Applied Sciences
The nonlocal symmetries for the special Kðm; nÞ equation, which is called KdV-type Kð3; 2Þ equation, are obtained by means of the truncated Painleve´method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables and the corresponding finite symmetry transformations are computed directly. The KdV-type Kð3; 2Þ equation is also proved to be consistent tanh expansion solvable. New exact interaction excitations such as soliton-cnoidal wave
doi:10.1016/j.jaubas.2016.07.003
fatcat:iu2u5x3xp5dzjpxj3ehtsk6aky