Article ID Journal Published Year Pages File Type
759144 Communications in Nonlinear Science and Numerical Simulation 2013 13 Pages PDF
Abstract

In this paper we generalize Cauchy matrix approach to study the lattice KP-type equations, including lattice potential KP equation, lattice potential mKP equation, lattice Schwarzian KP equation and lattice KP-type NQC equation. By solving the condition equation set, we give explicit formulae for all possible rr, tsts and MM. Consequently, we get more solutions than usual multi-soliton solutions for these lattice KP-type equations.

► We generalize Cauchy matrix approach to study the lattice KP-type equations. ► By solving the condition equation set, we give explicit formulae for all possible rr, tsts and MM. ► We get more solutions than usual multi-soliton solutions for the lattice KP-type equations.

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Physical Sciences and Engineering Engineering Mechanical Engineering
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