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

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

2006-09-28

arxiv.org/abs/math/0609805v2

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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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