A Classification of Integrable Quasiclassical Deformations of Algebraic Curves
B. Konopelchenko, L. Martinez Alonso, E. Medina
Abstract
A previously introduced scheme for describing integrable deformations of of algebraic curves is completed. Lenard relations are used to characterize and classify these deformations in terms of hydrodynamic type systems. A general solution of the compatibility conditions for consistent deformations is given and expressions for the solutions of the corresponding Lenard relations are provided.
Create a lesson
Related papers
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.
A Riemann-Hilbert approach to the two-component modified Camassa-Holm system with step-like boundary conditions
Iryna Karpenko, Dmitry Shepelsky, Gerald Teschl