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arxiv: 1011.1449 · v1 · pith:V7STIXLPnew · submitted 2010-11-05 · 🧮 math.AP

Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs

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keywords solutionsdispersioneigenfunctionsnonlinearodd-ordersimilarityasymptoticconstructed
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Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled ODEs, are constructed.

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