Results 1 to 10 of about 1,458 (45)
Classification of integrable super-systems using the SsTools environment [PDF]
, 2006 A classification problem is proposed for supersymmetric evolutionary PDE that satisfy the assumptions of nonlinearity and nondegeneracy. Four classes of nonlinear coupled boson-fermion systems are discovered under the homogeneity assumption |f|=|b|=|D_t|=
A.V. Kiselev +20 more
core +2 more sources
Integrable systems and modular forms of level 2 [PDF]
, 2006 A set of nonlinear differential equations associated with the Eisenstein series of the congruent subgroup $\Gamma_0(2)$ of the modular group $SL_2(\mathbb{Z})$ is constructed. These nonlinear equations are analogues of the well known Ramanujan equations,
Ablowitz, Mark J +2 more
core +2 more sources
Gardner's deformation of the Krasil'shchik-Kersten system [PDF]
, 2015 The classical problem of construction of Gardner's deformations for infinite-dimensional completely integrable systems of evolutionary partial differential equations (PDE) amounts essentially to finding the recurrence relations between the integrals of ...
Kiselev, Arthemy V., Krutov, Andrey O.
core +2 more sources
On non commutative sinh-Gordon Equation [PDF]
, 2006 We give a noncommutative extension of sinh-Gordon equation. We generalize a linear system and Lax representation of the sinh-Gordon equation in noncommutative space.
Connes A +11 more
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Integrable Field Theories with Defects [PDF]
, 2006 The structure of integrable field theories in the presence of defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered.
A. Fring +9 more
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Hamiltonian formulation and integrability of a complex symmetric nonlinear system [PDF]
, 2005 The integrability of a complex generalisation of the 'elegant' system, proposed by D. Fairlie and its relation to the Nahm equation and the Manakov top is discussed.Comment: 8 pages, Physics Letters A ...
Ivanov, Rossen I.
core +3 more sources
Branes, Quantum Nambu Brackets, and the Hydrogen Atom [PDF]
, 2004 The Nambu Bracket quantization of the Hydrogen atom is worked out as an illustration of the general method. The dynamics of topological open branes is controlled classically by Nambu Brackets.
Curtright, Thomas, Zachos, Cosmas
core +2 more sources
A Note on Pseudo-Hermitian Systems with Point Interactions and Quantum Separability [PDF]
, 2006 We study the quantum entanglement and separability of Hermitian and pseudo-Hermitian systems of identical bosonic or fermionic particles with point interactions.
A. Peres +6 more
core +2 more sources
On linearization of super sine-Gordon equation [PDF]
, 2005 Two sets of super Riccati equations are presented which result in two linear problems of super sine-Gordon equation. The linear problems are then shown to be related to each other by a super gauge transformation and to the super B\"{a}cklund ...
Ablowitz M. J. +10 more
core +3 more sources
Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere
, 2009 Using the second Hopf map, we perform the reduction of the eight-dimensional (pseudo)spherical (Higgs)oscillator to a five-dimensional system interacting with a Yang monopole.
Ballesteros A +24 more
core +1 more source