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A differential-difference equation for a KdV-MKdV equation

✍ Scribed by Thiab R. Taha

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
254 KB
Volume
35
Category
Article
ISSN
0378-4754

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✦ Synopsis

In this paper a differential-difference equation is derived by methods related to the inverse scattering transform (PST), which has as its limiting form the nonlinear partial differential equation ut +~LYKU, +6/3u2u, + ~xxx = 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.

πŸ“œ SIMILAR VOLUMES

Solitary wave solutions for a generalize
Solitary wave solutions for a generalized KdV–mKdV equation with variable coefficients
✍ Houria Triki; Thiab R. Taha; Abdul-Majid Wazwaz πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 126 KB

In this work, a generalized time-dependent variable coefficients combined KdV-mKdV (Gardner) equation arising in plasma physics and ocean dynamics is studied. By means of three amplitude ansatz that possess modified forms to those proposed by Wazwaz in 2007, we have obtained the bell type solitary w