On a theorem by Treves
Carlo Morosi, Livio Pizzocchero
Abstract
According to a theorem of Treves, the conserved functionals of the KdV equation vanish on each formal Laurent series 1/x2 + u0 + u2 x2 + u3 x3 + >... . We propose a new, very simple geometrical proof for this statement.
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.