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arxiv: math/0609805 · v2 · submitted 2006-09-28 · 🧮 math.AP

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

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keywords equationinstabilitylinearapproximateapproximationsconstructingcubicequations
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In this paper we are interested in constructing WKB approximations for the non linear cubic Schr\"odinger equation on a Riemannian surface which has a stable geodesic. These approximate solutions will lead to some instability properties of the equation.

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