sigma08-047. 520KB Jun 04 2011 12:10:16 AM
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We study in Section 3 the generalized Cauchy problem of the Dunkl linear symmetric systems, and we prove the principle of finite speed of propagation of these systems.. In the
As applications, in Section 4 we transcribe our main result in the spin s = 1 case into tensorial form to derive a complete classification of generalized symmetries for the
We study the finite and infinite irreducible representations of the quantum quadratic algebras though the construction of models in which the symmetries act on spaces of functions of
We construct the exact solution of the nonlinear FPE whose coefficients have a special form, and for the coefficients of a general form we construct the leading term of
In a nonlinear formulation of time-independent quantum mechanics proposed by Reinisch [ 2 ], the amplitude of the wave function fulfils a real nonlinear (space-dependent)
The purpose of this paper is to reduce the equations of dispersive flows ( 1 ) and ( 2 ) to complex valued equations by constructing a good moving
In this case the space-time filled with axially symmet- ric condensate proves to be a flat relativistically invariant Finslerian space with partially broken 3D isotropy, while
Reshetikhin [ 7 ] had developed the theory of intertwining operators for quantum affine algebras and had shown that the matrix elements of intertwiners satisfy the