Loading…

QR Code

Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation

Rogue waves appearing on deep water or in optical fibres are often modelled by certain breather solutions of the focusing nonlinear Schrödinger (fNLS) equation which are referred to as solitons on finite background (SFBs). A more general modelling of rogue waves can be achieved via the consideration...

Full description

Saved in:

Bibliographic Details
Main Authors:	Marco Bertola, Gennady El, Alexander Tovbis
Format:	Default Article
Published:	2016
Subjects:	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/22790
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Dam break problem for the focusing nonlinear Schrodinger equation and the generation of rogue waves
by: Gennady El, et al.
Published: (2016)

Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation
by: Alexey Tikan, et al.
Published: (2017)

Oblique spatial dispersive shock waves in nonlinear Schrodinger flows
by: M.A. Hoefer, et al.
Published: (2017)

Solitary wave solution for a non-integrable, variable coefficient nonlinear Schrodinger equation
by: Roger Grimshaw
Published: (2006)

On the origin of heavy-tail statistics in equations of the Nonlinear Schrodinger type
by: Miguel Onorato, et al.
Published: (2016)

Inverse scattering transform analysis of rogue waves using local periodization procedure
by: Stephane Randoux, et al.
Published: (2016)

Rogue waves in integrable turbulence: semi-classical theory and fast measurements
by: Pierre Suret, et al.
Published: (2017)

Semiclassical limit of the focusing NLS: Whitham equations and the Riemann-Hilbert Problem approach
by: Alexander Tovbis, et al.
Published: (2016)

Matrix Schrödinger equations and Darboux transformations
by: V.M. Goncharenko
Published: (1999)

Exponential instability in an inverse problem for the Schrodinger equation
by: N. Mandache
Published: (2001)

Kinetic equation for nonlinear resonant wave-particle interaction
by: A.V. Artemyev, et al.
Published: (2016)

Modulating pulse solutions for quasilinear wave equations
by: Mark D. Groves, et al.
Published: (2005)

Nonlinear waves in a bi-layer and coupled Klein-Gordon equations
by: Karima Khusnutdinova
Published: (2002)

Validity of the weakly nonlinear solution of the cauchy problem for the boussinesq-type equation
by: Karima Khusnutdinova, et al.
Published: (2014)

Periodic solutions of generalized Schrödinger equations on Cayley Trees
by: Fumio Hiroshima, et al.
Published: (2015)

Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics
by: A.V. Artemyev, et al.
Published: (2019)

Novel solitary pulses for a variable-coefficient derivative nonlinear Schrödinger equation
by: K.W. Chow, et al.
Published: (2007)

Weakly-nonlinear solution of coupled Boussinesq equations and radiating solitary waves
by: Karima Khusnutdinova, et al.
Published: (2019)

Korteweg - de Vries equation: solitons and undular bores
by: Gennady El
Published: (2007)

Two-dimensional supersonic nonlinear Schrodinger flow past an extended obstacle
by: Gennady El, et al.
Published: (2009)

Nonlinear effects in wave scattering and generation
by: Roger Grimshaw
Published: (2000)

Wave group dynamics in weakly nonlinear long-wave models
by: Roger Grimshaw, et al.
Published: (2000)

Infinite hierarchies of exact solutions of the Einstein and Einstein-Maxwell equations for interacting waves and inhomogeneous cosmologies
by: G.A. Alekseev, et al.
Published: (2000)

Maximum principles and Aleksandrov-Bakelman-Pucci type estimates for non-local Schrödinger equations with exterior conditions
by: Jozsef Lorinczi, et al.
Published: (2019)

On the meromorphic solutions to an equation of Hayman
by: Y.M. Chiang, et al.
Published: (2002)

Soliton solutions to the fifth-order Korteweg–de Vries equation and their applications to surface and internal water waves
by: Karima Khusnutdinova, et al.
Published: (2018)

Short-lived large-amplitude pulses in the nonlinear long-wave model described by the modified Korteweg–de Vries equation
by: Roger Grimshaw, et al.
Published: (2004)

Generation of undular bores in the shelves of slowly-varying solitary waves
by: Gennady El, et al.
Published: (2002)

Kinetic equation for a dense soliton gas
by: Gennady El, et al.
Published: (2005)

Solutions of the hyperbolic sine-Gordon equations
by: C. Hoenselaers
Published: (2005)

The numerical solution of quadratic matrix equations
by: Khalid Mahmood
Published: (1990)

Mathematical modelling of nonlinear waves in layered waveguides with delamination
by: Matthew R. Tranter
Published: (2018)

Probabilistic approach to nonlinear wave-particle resonant interaction
by: A.V. Artemyev, et al.
Published: (2017)

Multidimensional integrable Schrodinger operators with matrix potential
by: O.A. Chalykh, et al.
Published: (1999)

Kato's inequality for magnetic relativistic Schrödinger operators
by: Fumio Hiroshima, et al.
Published: (2016)

Radiating dispersive shock waves in non-local optical media
by: Gennady El, et al.
Published: (2016)

Consistent multiphase-field theory for interface-driven multidomain dynamics
by: Gyula Toth, et al.
Published: (2015)

Continuation methods for time-periodic travelling-wave solutions to evolution equations
by: Te-Sheng Lin, et al.
Published: (2018)

Development of numerical methods for the solution of integral equations
by: Anthony P.G. Morgan
Published: (1984)

Continued fractions and solutions of the Feigenbaum-Cvitanovic equation
by: B.D. Mestel, et al.
Published: (2002)