Nonlocal symmetries and interaction solutions for the KdV-type equation

Hengchun Hu, Yujuan Li
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
more » ... iton-cnoidal wave solutions are given out analytically and graphically. Ó 2016 University of Bahrain. Publishing services by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
doi:10.1016/j.jaubas.2016.07.003 fatcat:iu2u5x3xp5dzjpxj3ehtsk6aky