Multiphase Weakly Nonlinear Geometric Optics for Schrödinger Equations
نویسندگان
چکیده
منابع مشابه
Multiphase Weakly Nonlinear Geometric Optics for Schrödinger Equations
We describe and rigorously justify the nonlinear interaction of highly oscillatory waves in nonlinear Schrödinger equations, posed on Euclidean space or on the torus. Our scaling corresponds to a weakly nonlinear regime where the nonlinearity affects the leading order amplitude of the solution, but does not alter the rapid oscillations. We consider initial states which are superpositions of slo...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2010
ISSN: 0036-1410,1095-7154
DOI: 10.1137/090750871