1. Integrable nonholonomic deformation of modified Volterra lattice equation
- Author
-
Hai-qiong Zhao
- Subjects
010101 applied mathematics ,Nonholonomic system ,Nonlinear Sciences::Exactly Solvable and Integrable Systems ,Integrable system ,Applied Mathematics ,Lattice (order) ,010102 general mathematics ,Lax pair ,Mathematical analysis ,Gauge theory ,0101 mathematics ,01 natural sciences ,Mathematics - Abstract
The modified Volterra lattice equation with nonholonomic constrain has been considered in this paper. The integrability of the deformed model has been demonstrated by providing a Lax pair. Applying the gauge transformation to the Lax pair, we establish Darboux transformation theorem for the nonholonomic deformation equation. Some analytic solutions of the system are obtained via the one-fold and two-fold Darboux transformations. The deformation on explicit solutions exhibits different curvy profiles and propagation trajectories that were not found in modified Volterra lattice equation.
- Published
- 2019