Lax pair, Bäcklund transformation and conservation laws for the (2Â +Â 1)-dimensional extended shallow water wave equation

By virtue of the binary Bell polynomials, the bilinear form and the Bäcklund transformation of the (2 + 1)-dimensional extended shallow water wave equation are obtained. Based on the Bäcklund transformation in bilinear form, a new Bäcklund transformation is constructed. Furthermore, Lax pair and infinite conservation laws are derived.