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arxiv: 0810.3287 · v2 · pith:DB43EIGMnew · submitted 2008-10-18 · 🧮 math.AP · math-ph· math.MP

WTC solutions to a generalized nonlinear Schr\"odinger equation

classification 🧮 math.AP math-phmath.MP
keywords solutionsequationgeneralizednonlinearodingerschradmitsclarkson
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A generalized nonlinear Schr\"odinger equation admits WTC formal solutions as was shown by Clarkson. We show that they are convergent and determine real-analytic solutions near a noncharacteristic, movable singularity manifold.

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