Self-similar solutions of the non-strictly hyperbolic Whitham equations
We study the Whitham equations for the fifth order KdV equation. The equations are neither strictly hyperbolic nor genuinely nonlinear. We are interested in the solution of the Whitham equations when the initial values are given by a step function. We classify the step-like initial data into eight d...
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| Veröffentlicht in: | Communications in mathematical sciences 2006, Vol.4 (4), p.799-822 |
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| creator | Pierce, Virgil U. Tian, Fei-Ran |
| description | We study the Whitham equations for the fifth order KdV equation. The equations are neither strictly hyperbolic nor genuinely nonlinear. We are interested in the solution of the Whitham equations when the initial values are given by a step function. We classify the step-like initial data into eight different types. We construct self-similar solutions for each type. |
| doi_str_mv | 10.4310/CMS.2006.v4.n4.a7 |
| format | Article |
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| identifier | ISSN: 1539-6746 |
| ispartof | Communications in mathematical sciences, 2006, Vol.4 (4), p.799-822 |
| issn | 1539-6746 1945-0796 |
| language | eng |
| recordid | cdi_projecteuclid_primary_oai_CULeuclid_euclid_cms_1175797612 |
| source | International Press Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | 35C05 35L65 35L67 35Q53 non-strictly hyperbolic equations Whitham equations Zero dispersion limit |
| title | Self-similar solutions of the non-strictly hyperbolic Whitham equations |
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