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arXiv · 1101.2307

A variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group and blow-up of its solutions

F. Güngör·M. Hasanov·C. Özemir
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Abstract

A canonical variable coefficient nonlinear Schrödinger equation with a four dimensional symmetry group containing $\SL(2,\mathbb{R})$ group as a subgroup is considered. This typical invariance is then used to transform by a symmetry transformation a known solution that can be derived by truncating its Painlevé expansion and study blow-ups of these solutions in the $L_p$-norm for $p>2$, $L_\infty$-norm and in the sense of distributions.

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F. Güngör, M. Hasanov, C. Özemir. 2011-04-24. A variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group and blow-up of its solutions. https://doi.org/10.1080/00036811.2012.676165

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