Abstract:

Soliton solutions of (2+1) dimensional MKdV equation were obtained via Darboux transformation. Based on spectral problems of the generalized MKdV equation, a (2+1) dimensional MKdV equation and its Lax pairs were derived . With the help of zero curvature equation,  three different Darbouxtransformations (DTs) of the (2+1) dimensional MKdV equations were constructed. Then, relations among three Darboux transformations were discussed. As an example of application of DT, soliton solutions of (2+1) dimensional MKdV equation were given and various collision  graphics were discussed.

Key words: MKdV equation, Darboux transformation, soliton solution