Abstract
Considering the continuous characteristics of surface waves propagating over a typical uneven bottom, the unified nonlinear equations are developed by employing Hamilton’s canonical equations for surface waves, including the following special cases: the generalized nonlinear shallow-water equations of Airy, the generalized mild-slope equation, the dispersion relation for second-order Stokes waves and higher-order Boussinesq-type equations.
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© 2009 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
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Huang, H. (2009). Nonlinear Unified Equations over an Uneven Bottom. In: Dynamics of Surface Waves in Coastal Waters. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88831-4_6
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DOI: https://doi.org/10.1007/978-3-540-88831-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88830-7
Online ISBN: 978-3-540-88831-4