On an integrable modified (2+1)-dimensional Lotka-Volterra equation

In this paper, an integrable (2+1)-dimensional modified Lotka-Volterra equation is considered. This is a semi-discrete system, having discrete space and continuous time which has a known (1+1)-dimensional self-dual network equation as a reduction. Its bilinear Bäcklund transformation and Lax pair are also presented and explicit solutions including soliton solutions expressed in terms of pfaffians are obtained. Finally, the reduction of these solutions to (1+1) dimensions is considered.