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Angular pseudomomentum theory for the generalized nonlinear Schrodinger equation in discrete rotational symmetry media

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Valencià Castellano

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Angular pseudomomentum theory for the generalized nonlinear Schrodinger equation in discrete rotational symmetry media

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García March, Miguel Ángel; Ferrando Cogollos, Albert; Zacarés, Mario; Vijande Asenjo, Javier; Carr, Lincoln D.

Aquest document és un/a article, creat/da en: 2009

We develop it complete mathematical theory for the symmetrical solutions of the generalized nonlinear Schrodinger equation based on the concept of angular pseudomomentum. We consider the symmetric solitons of a generalized nonlinear Schrodinger equation with a nonlinearity depending on the modulus of the field. We provide a rigorous proof of a set of mathematical results justifying that these solitons can be classified according to the irreducible representations of a discrete group. Then we extend this theory to non-stationary solutions and study the relationship between angular momentum and pseudomomentum. We illustrate these theoretical results with numerical examples.

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