Abstract

With the aid of MATHEMATICA, the idea of improved homogeneous balance method is extended to (2+1)-dimensional variable coefficients KP equation. As a result, Bäcklund transformation and non-local symmetry are found. Then via using the Bäcklund transformation, six families of exact solutions for (2+1)-dimensional variable coefficients KP equation are obtained, which contain new soliton-like solutions.

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