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arXiv · 0902.0253

Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up waves

V. A. Galaktionov·S. I. Pohozaev
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Abstract

Various shock and rarefaction-type similarity solutions of the third-order nonlinear dispersion equation in 1D are constructed. Blow-up of some solutions are proved by different techniques.

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V. A. Galaktionov, S. I. Pohozaev. 2009-02-02. Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up waves. https://arxiv.org/abs/0902.0253

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