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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 SunSchool of Mathematics and Statistics F07, The University of Sydney NSW 2006, Australia
2016en

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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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