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arxiv: 0902.0253 · v1 · submitted 2009-02-02 · 🧮 math.AP

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

classification 🧮 math.AP
keywords blow-updispersionnonlinearsolutionsthird-orderconstructeddifferentequation
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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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