Abstract
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.
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