A differential-difference equation for a KdV-MKdV equation

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.

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Year of publication:	1993
Authors:	Taha, Thiab R.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 35.1993, 6, p. 509-512
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050228