A differential-difference equation for a KdV-MKdV equation

Thiab R. Taha

Mathematics and Computers in Simulation (MATCOM), 1993, vol. 35, issue 6, 509-512

Abstract: In this paper a differential-difference equation is derived by methods related to the inverse scattering transform (IST), which has as its limiting form the nonlinear partial differential equation ut+6αuux+6βu2ux + uxxx=0. It is shown that the differential-difference equations which have as limiting forms the KdV and MKdV equations are obtained from the new differential-difference equation.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:35:y:1993:i:6:p:509-512

DOI: 10.1016/0378-4754(93)90069-7

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