integrable system
A new hierarchy of integrable system of 1+2 dimensions: from Newton's law to generalized Hamiltonian system Part II
... of integrable systems, which is of fundamental importance in the study of Hamiltonian integrable systems [4–7, ...of integrable systems of 1 + 2 dimensions with its Hamiltonian form is proposed in ...
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A Finite Dimensional Integrable System Related to the Complex 3 × 3 Spectral Problem and the Coupled Nonlinear Schrödinger Equation
... The relation between the 3 × 3 complex spectral problem and the associated completely integra- ble system is generated. From the spectral problem, we derived the Lax pairs and the evolution equation hierarchy in ...
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A finite dimensional integrable system associated with a polynomial eigenvalue problem
... the integrable Hamiltonian systems associated with Harry- Dym and coupled Harry-Dym equations ...ated integrable system is given in this ...Hamiltonian system associated with the polynomial ...
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The exact connection between the feynman integral and a completely integrable system
... deterministic system can portray unpredictable and varying ...of system creates the same state of perplexity, though with contradicting reasons behind ...‘integrable system’, the challenge is ...
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Glimpse on the relationship between Feynman integral and integrable system
... a system probably cor- responds to a vector unit in a Hilbert space H while the observable quantity corresponds to the operator (self-adjoint and noncommutative) on ...completely integrable system in ...
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A Equation and Its Connections to Nonlinear Integrable System
... nonlinear system studied here is of interest not only for its connection to inverse ...ble system than C-integrable system and is worth further ...
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The Charged Free Boson Integrable Hierarchy.
... an integrable system using vertex operators one essentially picks an operator in a clever way and that operator is mapped to a space of polynomials and derivatives giving ...
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Dimensions of Prym varieties
... algebraically integrable sys- tems. An algebraically integrable system is a Hamiltonian system of ordinary dif- ferential equations, where the phase space is an algebraic variety with an ...
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Integrable nonlocal Hirota equations
... We exploited various possibilities involving different combinations of parity, time-reversal and complex conjugation to achieve compatibility between the two equations (2.9) and (2.10) resulting from the zero curvature ...
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Bethe/gauge correspondence on curved spaces
... In Bethe/gauge correspondence these equations are Bethe equations of corresponding quan- tum integrable system. In [4–6] explicit formulas for f W eff for a very large class of theories were given, ...
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Integrable models with unstable particles
... The structure of integrable quantum field theories (IQFT) in 1+1 space-time dimensions has been unravelled to a very large extend. Many theories can be solved even exactly, that is to all orders in perturbation ...
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Integrable ODEs on associative algebras
... of integrable PDEs [4] to a new domain, namely, to differential equations on free associative algebras (see also [12, 13, ...Like integrable PDEs, ODEs on associative algebras may have infinite hierarchies ...
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p integrable selectors of multimeasures
... p-integrable slectors, Mtimeasres, Banach space, Radon-Nikodym property, Finite p-variation, L p spaces.. AMS MOS SUBJECT CLASSIFICATION 1970 Codes...[r] ...
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Gauge string duality for superconformal deformations of N=4 super Yang Mills theory
... There exists at least one natural reason to expect that the integrability of the dilatation operator of the β-deformed N = 4 SYM is spoiled at some number of loops if Im(β) 6 = 0. The construction of the supergravity ...
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Supersymmetric integrable scattering theories with unstable particles
... in integrable quantum field theories in 1+1 dimensions as early as the late seventies [19], only recently such type of theories have been investigated in more ...
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Factorization in integrable systems with impurity
... The reflection-transmission quantum Yang-Baxter equations have the form (2.8- 2.11). They are naturally obtained in the Reflection-Transmission (RT) algebras approach [17] and reproduce as a particular case the original ...
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Interaction Of Higher Order Dromion in (2+1) Dimensional Long Dispersive Wave Equation Using PTA
... of integrable models in (2+1) dimensions can be attributed to the identification of dromions in the Davey-Stewartson I equation ...dimensional integrable models leading to the formation of localized ...
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Reductions of integrable equations: dihedral group
... All properties of integrable equations are encoded in their Lax representations. Therefore, the description of the variety of integrable equations and their reductions can be pursued starting from the ...
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High Quality CMOS Integrable Varactors.
... The varactor state of the art design space is dominated by AJD, MEMs, CMOS, SSC, and TDM varactors. Gallium Arsenide (GaAs) AJD varactors are widely used when a gain of less than 8 is required, due to their impressive F ...
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On the integrable dynamical systems in statistical mechanics
... It feels natural to continue our exploration of the dynami- cal systems with stochastic methods (such as master equa- tions), which we have introduced in section 1 and briefly applied to ZRP in section 4, and extend the ...
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