Abstract
A new Lie algebra is introduced for which a soliton hierarchy of nonlinear evolution equations is derived from zero curvature equations. A reduced equation from the hierarchy is obtained whose exact solutions are produced. Again using the Lie algebra and the corresponding loop algebra, a type of nonlinear soliton equations with exponential terms in potential functions are given. The Bäcklund transformation among them is also generated.
Original language | English |
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Pages (from-to) | 1670-1676 |
Number of pages | 7 |
Journal | Chaos, Solitons and Fractals |
Volume | 42 |
Issue number | 3 |
DOIs | |
Publication status | Published - 15 Nov 2009 |
Scopus Subject Areas
- Statistical and Nonlinear Physics
- Mathematics(all)
- Physics and Astronomy(all)
- Applied Mathematics