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...

Descrizione completa

Dettagli Bibliografici
Autori principali:	Adcock, T, Taylor, P
Natura:	Journal article
Lingua:	English
Pubblicazione:	2009

Documenti analoghi

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

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

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

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

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

Approximate analytical solution for solving nonlinear Schrodinger equation
di: Che Haziqah Che Hussin
Pubblicazione: (2021)

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

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

Mapping of wave systems to nonlinear Schrödinger equations
di: Perrie, William Allan
Pubblicazione: (2010)

On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation
di: Mahir Hasanov
Pubblicazione: (2011-01-01)

Multicomplex wave functions for linear and nonlinear Schrödinger equations
di: Theaker, K, et al.
Pubblicazione: (2016)

On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations
di: Guowei Sun
Pubblicazione: (2013-01-01)

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

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

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

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

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

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

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

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

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

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

Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations
di: Dirk Hennig
Pubblicazione: (2017-01-01)

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

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

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

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

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

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

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

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

Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger Equations
di: Jinmyoung Seok
Pubblicazione: (2015-01-01)

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

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

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

Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equations
di: Ademir Pastor
Pubblicazione: (2010-01-01)

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

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

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

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