New solutions for the propagation of long water waves over variable depth (original) (raw)

Long surface wave dynamics along a convex bottom

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Theoretical analysis of surface waves propagation on sloping bottoms: Part 1

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Wave Motion, 2005

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Numerical Simulation of Nonlinear Surface Gravity Waves Transformation under Shallow-Water Conditions

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Propagation of long-crested water waves

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Discrete and Continuous Dynamical Systems, 2012

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Calculation of resonant short-crested waves in deep water

Mohammed Debiane

Physics of Fluids, 2009

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Scattering of long waves around a circular island mounted on a conical shoal

Song-ping Zhu

Wave Motion, 1996

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Transformation of Nonlinear Surface Gravity Waves under Shallow-Water Conditions

Iftikhar Abbasov

Applied mathematics, 2010

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New Evolution Equations for Non-Linear Water Waves in General Bathymetry with Application to Steady Travelling Solutions in Constant, but Arbitrary, Depth

Gerassimos A . Athanassoulis

2007

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Model Equations for Gravity-Capillary Waves in Deep Water

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A new limiting form for steady periodic gravity waves with surface tension on deep water

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Physics of Fluids, 1996

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Nonlinear Effects in Gravity Waves Propagating in Shallow Water

Yasser Eldeberky

Coastal Engineering Journal, 2012

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The passing of long internal and external gravity wave over a step. Laboratory and in-situ measurements compared with analytical modelling

Katell Guizien

1998

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Simulation the Runup of Nonlinear Surface Gravity Waves a Steep Coastal Slope

Iftikhar Abbasov

International Journal of Pure and Apllied Mathematics, 2013

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Theoretical analysis of surface waves shoaling and breaking on a sloping bottom. Part 2: Nonlinear waves

Hwung-hweng Hwung

Wave Motion, 2006

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Three-dimensional simulation of the runup of nonlinear surface gravity waves

Iftikhar Abbasov

Computational Mathematics and Mathematical Physics, 2014

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Conservation of energy for schemes applied to the propagation of shallow‐water inertia‐gravity waves in regions with varying depth

Terje Espelid

International Journal for Numerical Methods in Engineering, 2000

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An explicit method for the nonlinear interaction between water waves and variable and moving bottom topography

John Grue

Journal of Computational Physics, 2007

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Nonlinear Dispersion of Surface Gravity Waves in Shallow Water*

Steve Elgar

Journal of Physical Oceanography, 2002

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A comparative study of two fast nonlinear free‐surface water wave models

Allan Engsig-Karup

2011

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A new nonlinear equation in the shallow water wave problem

Piotr Rozmej

Physica Scripta, 2014

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Three-Dimensional Simulation the Runup of Nonlinear Surface Gravity Waves on Shallow Coast

Iftikhar Abbasov

International journal of pure and applied mathematics, 2014

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Evolution of surface gravity waves over a submarine canyon

Fabrice Ardhuin

Journal of Geophysical Research, 2007

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Fully Nonlinear Model for Water Wave Propagation from Deep to Shallow Waters

Alvaro Galan

2011

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On short-crested waves: experimental and analytical investigations

olivier kimmoun

European Journal of Mechanics B-fluids, 1999

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Nonlinear progressive waves in water of finite depth — an analytic approximation

Longbin Tao

Coastal Engineering, 2007

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Time-Dependent Analytic Solutions for Water Waves above Sea of Varying Depths

Imre Barna

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Analytical solutions for forced long waves on a sloping beach

Costas Synolakis

Journal of Fluid Mechanics, 2003

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Steady periodic waves over a planar seabed: a global characterization

Matteo Antuono

Journal of Fluid Mechanics, 2022

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