Wave Solutions of Evolution Equations and Hamiltonian Flows on Nonlinear Subvarieties of Generalized Jacobians
M. S. Alber, Y. N. Fedorov
Abstract
The algebraic-geometric approach is extended to study solutions of N-component systems associated with the energy dependent Schrodinger operators having potentials with poles in the spectral parameter, in connection with Hamiltonian flows on nonlinear subvariaties of Jacobi varieties. The systems under study include the shallow water equation and Dym type equation. The classes of solutions are described in terms of theta-functions and their singular limits by using new parameterizations. A qualitative description of real valued solutions is provided.
Create a lesson
Related papers
The N-solitonN-soliton solution formula for the Kaup--Kupershmidt equation
Tuncay Aktosun, Ramazan Ercan, Mehmet Unlu
The integer spectrum of a superintegrable quantum field theory
Marine De Clerck, Oleg Evnin
On a certain system of discrete equations with the Laurent property
Andrei K. Svinin
Rogue waves in the dam-break problem for the Kundu--Eckhaus equation
Jiaming Sun, Zhen Wang, Tianwei Qiu
Ground state and excitations of the \(C2(1)\) spin chain with non-diagonal boundaries
Zhouzheng Ji, Guang-Liang Li, Yi Qiao et al.
Elliptic soliton solutions of lattice eigenfunction equations of the KdV type
Xing Li, Ying Shi, Da-jun Zhang et al.