Discrete Negative Order Potential Korteweg-de Vries Equation

作者:Zhao, Song-lin*; Sun, Ying-ying
来源:Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2016, 71(12): 1151-1158.
DOI:10.1515/zna-2016-0324

摘要

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 semi-discrete equation and continuous equation together with their exact solutions by considering the continuum limits.