منابع مشابه
Non-linear Schrödinger Equations, Separation and Symmetry
We investigate the symmetry properties of hierarchies of non-linear Schrödinger equations, introduced in [1], which describe non-interacting systems in which tensor product wave-functions evolve by independent evolution of the factors (the separation property). We show that there are obstructions to lifting symmetries existing at a certain number of particles to higher numbers. Such obstruction...
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In this paper Lie point symmetries, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation are investigated. First of all Lie symmetries are obtained by using the general method based on invariance condition of a system of differential equations under a prolonged vector field. Then the structure of symmetry ...
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The method of one parameter, point symmetric, approximate Lie group invariants is applied to the problem of determining solutions of systems of pure one-dimensional, diffusion equations. The equations are taken to be non-linear in the dependent variables but otherwise homogeneous. Moreover, the matrix of diffusion coefficients is taken to differ from a constant matrix by a linear perturbation w...
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چکیده ندارد.
15 صفحه اولSymmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross-Pitaevskii Equations
We consider a class of nonlinear Schrödinger / Gross-Pitaveskii (NLS-GP) equations, i.e. NLS with a linear potential. We obtain conditions for a symmetry breaking bifurcation in a symmetric family of states asN , the squared L2 norm (particle number, optical power), is increased. In the special case where the linear potential is a doublewell with well separation L, we estimate Ncr(L), the symme...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 1995
ISSN: 1776-0852
DOI: 10.2991/jnmp.1995.2.1.1