A (2+1)-dimensional KdV equation and mKdV equation: symmetries, group invariant solutions and conservation laws

Publication date: Available online 27 November 2018Source: Physics Letters AAuthor(s): Gangwei Wang, A.H. KaraAbstractIn this paper, we analyse the (2+1)-dimensional KdV and mKdV equations. Firtly, on the basis of the extended Lax pair, we derive these equations. Thereafter, the symmetry generators are determined followed by the application of the mCK method. Finally, conservation laws (including higher order) are studied.

Source: Physics Letters A - November 28, 2018 Category: Physics Source Type: research