Closed lattice of Toda equations
The method of closed chains of discrete symmetries is used to multiply Toda lattices in one and two spatial dimensions. Using the modified Toda equations m0TCand m1TC as an example, it is shown that the combination of the Darboux and Schlesinger transformations leads to closed dressing chains.
1. Matveev V. B., Salle M. A. Darboux Transformations and Solitons. Berlin ; Heidelberg, 1991.
2. Yurov A. V., Yurov V. A. The Landau-Lifshitz Equation, the NLS, and the Magnetic Rogue Wave as a By-Product ...
System analysis and methodology for developing a software product of a mathematical model of physical processes for the aviation industry
The method of closed chains of discrete symmetries is used to multiply Toda lattices in one and two spatial dimensions. Using the modified Toda equations m0TCand m1TC as an example, it is shown that the combination of the Darboux and Schlesinger transformations leads to closed dressing chains.
1. Matveev V. B., Salle M. A. Darboux Transformations and Solitons. Berlin ; Heidelberg, 1991.
2. Yurov A. V., Yurov V. A. The Landau-Lifshitz Equation, the NLS, and the Magnetic Rogue Wave as a By-Product ...