Focusing of unidirectional wave groups on deep water: an approximate nonlinear Schrodinger equation-based model

Focusing of unidirectional wave groups on deep water: an approximate nonlinear Schrodinger equation-based model

This paper sets out an approximate analytical model describing the nonlinear evolution of a Gaussian wave group in deep water. The model is derived using the conserved quantities of the cubic nonlinear Schrödinger equation (NLSE). The key parameter for describing the evolution is the amplitude-to-wa...

Volledige beschrijving

Bibliografische gegevens
Hoofdauteurs:	Adcock, T, Taylor, P
Formaat:	Journal article
Taal:	English
Gepubliceerd in:	2009

Gelijkaardige items

The nonlinear evolution and approximate scaling of directionally spread wave groups on deep water
door: Adcock, T, et al.
Gepubliceerd in: (2012)

Energy Input Amplifies Nonlinear Dynamics of Deep Water Wave Groups
door: Adcock, T, et al.
Gepubliceerd in: (2011)

Amplification of Wave Groups in the Forced Nonlinear Schrödinger Equation
door: Montri Maleewong, et al.
Gepubliceerd in: (2022-07-01)

Nonlinear evolution of a steep, focusing wave group in deep water simulated with OceanWave3D
door: Barratt, D, et al.
Gepubliceerd in: (2019)

Nonlinear evolution of a steep, focusing wave group in deep water simulated with OceanWave3D
door: Barratt, D, et al.
Gepubliceerd in: (2019)

Approximate analytical solution for solving nonlinear Schrodinger equation
door: Che Haziqah Che Hussin
Gepubliceerd in: (2021)

Unsteady evolution of localized unidirectional deep-water wave groups
door: Cousins, Will, et al.
Gepubliceerd in: (2015)

Fast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulations
door: Adcock, T, et al.
Gepubliceerd in: (2015)

Mapping of wave systems to nonlinear Schrödinger equations
door: Perrie, William Allan
Gepubliceerd in: (2010)

On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation
door: Mahir Hasanov
Gepubliceerd in: (2011-01-01)

Multicomplex wave functions for linear and nonlinear Schrödinger equations
door: Theaker, K, et al.
Gepubliceerd in: (2016)

On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations
door: Guowei Sun
Gepubliceerd in: (2013-01-01)

On the so called rogue waves in nonlinear Schrodinger equations
door: Y. Charles Li
Gepubliceerd in: (2016-04-01)

THE FOCUSING OF UNI-DIRECTIONAL GAUSSIAN WAVE-GROUPS IN FINITE DEPTH: AN APPROXIMATE NLSE BASED APPROACH
door: Adcock, T, et al.
Gepubliceerd in: (2010)

Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups
door: Alexander Breev, et al.
Gepubliceerd in: (2022-08-01)

Steep unidirectional wave groups – fully nonlinear simulations vs. experiments
door: L. Shemer, et al.
Gepubliceerd in: (2015-12-01)

Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R
door: Fan, C, et al.
Gepubliceerd in: (2019)

Approximate analytical solutions of bright optical soliton for Nonlinear Schrödinger Equation of power law nonlinearity
door: Che Haziqah Che Hussin, et al.
Gepubliceerd in: (2021)

Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity
door: Che Hussin, Che Haziqah, et al.
Gepubliceerd in: (2021)

Nonlinear dynamics of wave-groups in random seas: unexpected walls of water in the open ocean
door: Adcock, T, et al.
Gepubliceerd in: (2015)

On the shape of large wave-groups on deep water — the influence of bandwidth and spreading
door: Adcock, T, et al.
Gepubliceerd in: (2016)

An extended nonlinear Schrödinger equation for water waves with linear shear flow, wind, and dissipation
door: Shaofeng Li, et al.
Gepubliceerd in: (2021-02-01)

Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations
door: Dirk Hennig
Gepubliceerd in: (2017-01-01)

Implicit Solitary Waves for One of the Generalized Nonlinear Schrödinger Equations
door: Nikolay A. Kudryashov
Gepubliceerd in: (2021-11-01)

On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random Potentials
door: Sergey Nazarenko, et al.
Gepubliceerd in: (2019-08-01)

Modeling extreme wave heights from laboratory experiments with the nonlinear Schrödinger equation
door: H. D. Zhang, et al.
Gepubliceerd in: (2014-04-01)

Non-linear evolution of uni-directional focussed wave-groups on a deep water: a comparison of models
door: Adcock, T, et al.
Gepubliceerd in: (2016)

Reduced-order precursors of rare events in unidirectional nonlinear water waves
door: Cousins, Will, et al.
Gepubliceerd in: (2016)

Non-Paraxial Effects in the Laser Beams Sharply Focused to Skin Revealed by Unidirectional Helmholtz Equation Approximation
door: Andrey Bulygin, et al.
Gepubliceerd in: (2023-08-01)

Analytical and approximate solutions of nonlinear Schrödinger equation with higher dimension in the anomalous dispersion regime
door: Lanre Akinyemi, et al.
Gepubliceerd in: (2022-04-01)

Fully nonlinear simulations of unidirectional extreme waves provoked by strong depth transitions: the effect of slope
door: Zheng, Y, et al.
Gepubliceerd in: (2020)

Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger Equations
door: Jinmyoung Seok
Gepubliceerd in: (2015-01-01)

Navigating waves: Advancing ocean dynamics through the nonlinear Schrödinger equation
door: Iqbal Ifrah, et al.
Gepubliceerd in: (2024-09-01)

Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation
door: Yuanhua Lin, et al.
Gepubliceerd in: (2022-01-01)

Modified wave operators for nonlinear Schrodinger equations in one and two dimensions
door: Nakao Hayashi, et al.
Gepubliceerd in: (2004-04-01)

Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equations
door: Ademir Pastor
Gepubliceerd in: (2010-01-01)

Rogue Wave Type Solutions and Spectra of Coupled Nonlinear Schrödinger Equations
door: Antonio Degasperis, et al.
Gepubliceerd in: (2019-03-01)

A New Algorithm for the Approximation of the Schrödinger Equation
door: LIN Rong-an, et al.
Gepubliceerd in: (2016-01-01)

ERS approximation for solving Schrödinger’s equation and applications
door: Hichem Eleuch, et al.
Gepubliceerd in: (2018-12-01)

Optical wave patterns of nonlinear Schrödinger equation with anti-cubic nonlinearity in optical fiber
door: Fan Sun
Gepubliceerd in: (2021-12-01)