We consider the Leznov lattice in this paper. By a dependent variable transformation, the Leznov lattice is transformed into a quadri-linear form. This form is further transformed into a bilinear form by the introduction of an auxiliary variable. We present a Backlund transformation and a nonlinear superposition formula for the Leznov lattice. As an application of the results, soliton solutions and lump solutions are derived. Besides, starting from the bilinear BT, a Lax pair for the Leznov lattice is obtained. (C) 2000 Elsevier Science B.V.
|Number of pages||8|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - 30 Oct 2000|
Scopus Subject Areas
- Physics and Astronomy(all)