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Analytic solution of the linearized shallow-water wave equations for certain continuous depth variations
Published online by Cambridge University Press: 17 February 2009
Abstract
The linear long-wave equations with (and without) small ground motion are considered. The governing equations are represented in a matrix from and transformations are sought which reduce the system to (for example) a form associated with the conventional wave equation. Integration of the system is then immediate. It is shown that such a reduction may be acheived provided the variation in water depth is specified by certain multi-parameter forms.
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- Copyright © Australian Mathematical Society 1975
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