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The Exact Solutions of Some (2+1)-Dimensional Integrable Systems
soliton solution integrable system
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2007/8/15
2002Vol.38No.2pp.129-132DOI:
The Exact Solutions of Some (2+1)-Dimensional Integrable Systems
CHEN Chun-Li1 and LI Yi-Shen1,2
1 Department of Physics, Shanghai Jiao Tong...
Finite Symmetry Transformation Groups and Exact Solutions of Lax Integrable Systems
Lax pairs symmetries exact solution symmetry groups
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2007/8/15
2005Vol.44No.2pp.193-196DOI:
Finite Symmetry Transformation Groups and Exact Solutions of Lax Integrable Systems
MA Hong-Cai1,3 and LOU Sen-Yue1,2
1 Physics Department, ...
Classical limit of non-integrable systems
Classical limit non-integrable systems
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2010/10/13
Self-induced decoherence formalism and the corresponding classical limit are extended from quantum integrable systems to non-integrable ones.
Two different numerical methods for nearly integrable systems
Generating Function Method Nearly Integrable System Composition Method
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2012/7/31
In this paper two numerical methods: the generating function method and the composition method are analyzed for nearly integrable systems. The numerical comparison between two numerical methods is pre...
On Integrable Systems Related to Semisimple Lie Groups
Integrable Systems Semisimple Lie Groups
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2010/4/15
Quantum scattering systems related to the noncompact semisimple Lie groups G in the sense that the Hamiltonian of the system can be written as a function of the Casimir operator of G are considered. T...
Cohomologies of Affine Jacobi Varieties and Integrable Systems
Affine Jacobi Varieties Integrable Systems
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2010/11/1
We study the affine ring of the affine Jacobi variety of a hyper-elliptic curve. The matrix construction of the affine hyper-elliptic Jacobi varieties due to Mumford is used to calculate the characte...
Quantum Integrable Systems of the Group SU(1, 1)
Quantum Integrable Systems Group SU(1, 1)
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2010/4/19
Quantum integrable systems related with SU(1, 1) group manifold or hyperboloid [x, x] = x21 + x22 - x23 - x24 = 1 in spherical, hyperbolic and parabolic coordinates systems are considered. The explici...