The finite-dimensional super integrable system of a super NLS-mKdV equation

2012 ◽  
Vol 17 (11) ◽  
pp. 4044-4052 ◽  
Author(s):  
Qiu-Lan Zhao ◽  
Yu-Xia Li ◽  
Xin-Yue Li ◽  
Ye-Peng Sun
Keyword(s):  
Integrable System ◽  
Mkdv Equation ◽  
Finite Dimensional

A finite-dimensional integrable system related to a new coupled KdV hierarchy

2006 ◽  
Vol 355 (6) ◽  
pp. 452-459 ◽  
Author(s):  
Zhenyun Qin
Keyword(s):  
Integrable System ◽  
Kdv Hierarchy ◽  
Finite Dimensional

The Bargmann Constraint and Integrable System for a Second-Order Spectral Problem

2015 ◽  
Vol 70 (11) ◽  
pp. 913-917
Author(s):  
Wei Liu ◽  
Yafeng Liu ◽  
Shujuan Yuan
Keyword(s):  
Coordinate System ◽  
Spectral Problem ◽  
Integrable System ◽  
Evolution Equations ◽  
Lagrange Equations ◽  
Lax Pairs ◽  
Infinite Dimensional ◽  
Hamilton System ◽  
Finite Dimensional ◽  
Dimensional Soliton

AbstractIn this article, the Bargmann system related to the spectral problem (∂2+q∂+∂q+r)φ=λφ+λφx is discussed. By the Euler–Lagrange equations and the Legendre transformations, a suitable Jacobi–Ostrogradsky coordinate system is obtained. So the Lax pairs of the aforementioned spectral problem are nonlinearised. A new kind of finite-dimensional Hamilton system is generated. Moreover, the involutive solutions of the evolution equations for the infinite-dimensional soliton system are derived.

A Finite Dimensional Integrable System Arising in the Study of Shock Clustering

2015 ◽  
Vol 340 (3) ◽  
pp. 1109-1142 ◽  
Author(s):  
Luen-Chau Li
Keyword(s):  
Integrable System ◽  
Finite Dimensional

Bi-Hamiltonian formulation of a finite-dimensional integrable system reduced from a Lax hierarchy of the KdV

1992 ◽  
Vol 171 (1-2) ◽  
pp. 45-51 ◽  
Author(s):  
Maciej Błaszak ◽  
Peter Basarab-Horwath
Keyword(s):  
Integrable System ◽  
Hamiltonian Formulation ◽  
Finite Dimensional

scholarly journals A Finite Dimensional Completely Integrable System Associated with the WKI- and Heisenberg Hierarchies

2001 ◽  
Vol 8 (Supplement) ◽  
pp. 261
Author(s):  
Rudolf SCHMID ◽  
Taixi XU ◽  
Zhongding LI
Keyword(s):  
Integrable System ◽  
Completely Integrable ◽  
Completely Integrable System ◽  
Finite Dimensional

scholarly journals THE QUANTUM H3 INTEGRABLE SYSTEM

2010 ◽  
Vol 25 (30) ◽  
pp. 5567-5594 ◽  
Author(s):  
MARCOS A. G. GARCÍA ◽  
ALEXANDER V. TURBINER
Keyword(s):  
Integrable System ◽  
Differential Operators ◽  
Three Dimensional ◽  
Integrable Model ◽  
Dimensional System ◽  
Property A ◽  
Algebraic Form ◽  
Infinite Dimensional ◽  
Polynomial Coefficients ◽  
Finite Dimensional

The quantum H3 integrable system is a three-dimensional system with rational potential related to the noncrystallographic root system H3. It is shown that the gauge-rotated H3 Hamiltonian as well as one of the integrals, when written in terms of the invariants of the Coxeter group H3, is in algebraic form: it has polynomial coefficients in front of derivatives. The Hamiltonian has infinitely-many finite-dimensional invariant subspaces in polynomials, they form the infinite flag with the characteristic vector [Formula: see text]. One among possible integrals is found (of the second order) as well as its algebraic form. A hidden algebra of the H3 Hamiltonian is determined. It is an infinite-dimensional, finitely-generated algebra of differential operators possessing finite-dimensional representations characterized by a generalized Gauss decomposition property. A quasi-exactly-solvable integrable generalization of the model is obtained. A discrete integrable model on the uniform lattice in a space of H3-invariants "polynomially"-isospectral to the quantum H3 model is defined.

A Finite Dimensional Completely Integrable System Associated with the WKIand Heisenberg Hierarchies

2001 ◽  
Vol 8 (sup1) ◽  
pp. 261-265 ◽  
Author(s):  
Rudolf Schmid ◽  
Taixi Xu ◽  
Zhongding Li
Keyword(s):  
Integrable System ◽  
Completely Integrable ◽  
Completely Integrable System ◽  
Finite Dimensional
Sign in / Sign up

Export Citation Format

Share Document