Abstract
By introducing the extended homogeneous balance approach into the (2 + 1)-dimensional integrable system, a linearized form of this physical model is established in this paper. Subsequently, after applied the Bäcklund transformation in the system, a variable separation solution with the entrance of different arbitrary functions is obtained. Furthermore, by using the Weierstrass, Bessel and Jacobian elliptic functions, some interesting fractal structures are produced.
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