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A Discrete Negative Order Potential Korteweg–de Vries Equation

Song‐lin ZhaoDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P.R. ChinaYing‐ying SunDepartment of Mathematics, Shanghai University, Shanghai 200444, P.R. China
2016en
ABI

Abstract

Abstract We investigate a discrete negative order potential Korteweg–de Vries (npKdV) equation via the generalised Cauchy matrix approach. Solutions more than multisoliton solutions of this equation are derived by solving the determining equation set. We also show the semidiscrete equation and continuous equation together with their exact solutions by considering the continuum limits.

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Cited by 70 references