Abstract
This paper shows that several integrable lattices can be transformed into coupled bilinear differential-difference equations by introducing auxiliary variables. By testing the Bäcklund transformations for this type of coupled bilinear equations, a new integrable lattice is found. By using the Bäcklund transformation, soliton solutions are obtained. By the dependent variable transformation, this new coupled bilinear equations can be reduced to a coupled extended Lotka-Voltera equation and another equation.
Original language | English |
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Pages (from-to) | 149-155 |
Number of pages | 7 |
Journal | Journal of Nonlinear Mathematical Physics |
Volume | 8 |
Issue number | SUPPL. |
DOIs | |
Publication status | Published - Feb 2001 |
Scopus Subject Areas
- Statistical and Nonlinear Physics
- Mathematical Physics