Abstract

Various integrable systems, both continuous and discrete, having soliton solutions have been studied through the generalized Cauchy matrix method. Here we employ this approach to investigate a lattice CKP equation which is expressed by a τ function. We start from introducing a Sylvester equation and then show how to solve it. The variables in the Sylvester equation help us construct the τ function of the lattice CKP equation, which yields different types of exact solutions to the lattice CKP equation as well.

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