Nonlocal symmetries and interaction solutions for the KdV-type K (3, 2)‎ equation

Abstract EN

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 solutions are given out analytically and graphically.