Singleton representations of
Singular Bohr–Sommerfeld rules for 2D integrable systems
Singular eigenfunctions of Calogero-Sutherland type systems and how to transform them into regular ones.
Singular integrals of the time-harmonic relativistic Dirac equation on a piecewise Liapunov surface.
Singular potentials in quantum mechanics and ambiguity in the self-adjoint Hamiltonian.
Singular spectrum of products of distributions at points
Singular Yang-Mills connections
Skein quantization of Poisson algebras of loops on surfaces
link homology.
SLE and triangles.
Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.
In this paper we study the Cauchy problem for the nonlinear Dirac equation in the Sobolev space Hs. We prove the existence and uniqueness of global solutions for small data in Hs with s > 1...
Smallness problem for quantum affine algebras and quiver varieties
The geometric small property (Borho-MacPherson [2]) of projective morphisms implies a description of their singularities in terms of intersection homology. In this paper we solve the smallness problem raised by Nakajima [37, 35] for certain resolutions of quiver varieties [37] (analogs of the Springer resolution): for Kirillov-Reshetikhin modules of simply-laced quantum affine algebras, we characterize explicitly the Drinfeld polynomials corresponding to the small resolutions. We use an elimination...
Snyder space-time: K-loop and Lie triple system.
Solitary waves for a coupled nonlinear Schrödinger system with dispersion management.
Solitary waves for Maxwell-Dirac and Coulomb-Dirac models
Solitary waves for Maxwell-Schrödinger equations.
Solitary waves in massive nonlinear -sigma models.
Soliton scattering by delta impurities
Soliton-pair Propagation under Thermal Bath Effect
We consider two atomic transitions excited by two variable laser fields in a three-level system. We study the soliton-pair propagation out of resonance and under thermal bath effect. We present general analytical implicit expression of the soliton-pair shape. Furthermore, we show that when the coupling to the environment exceeds a critical value, the soliton-pair propagation through three-level atomic system will be prohibited.
Solitons and Gibbs Measures for Nonlinear Schrödinger Equations
We review some recent results concerning Gibbs measures for nonlinear Schrödinger equations (NLS), with implications for the theory of the NLS, including stability and typicality of solitary wave structures. In particular, we discuss the Gibbs measures of the discrete NLS in three dimensions, where there is a striking phase transition to soliton-like behavior.