The WKB method and geometric instability for non linear Schrodinger equations on surfaces

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In this paper we are interested in constructing WKB approximations for the non linear cubic Schrödinger equation on a Riemannian surface which has a stable geodesic. These approximate solutions will lead to some instability properties of the equation.
20 pages

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Analysis of PDEs, 35Q55; 35B35; 35R25

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http://salesiana.dossiersoluciones.com/handle/123456789/116701

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609805
 http://arxiv.org/abs/math/0609805

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arXiv