Self-similar solutions of the non-strictly hyperbolic Whitham equations (Q883677)
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| Language | Label | Description | Also known as |
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| English | Self-similar solutions of the non-strictly hyperbolic Whitham equations |
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Self-similar solutions of the non-strictly hyperbolic Whitham equations (English)
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8 June 2007
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The authors study the Whitham equations for the fifth-order KdV equation. The equations are neither strictly hyperbolic nor genuinely nonlinear. They are interested in the solution of the Whitham equations when the initial values are given by a step function. They classify the step-like initial data into eight different types. They construct self-similar solutions for each type.
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zero dispersion limit
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step-like initial data
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