Numerical investigation of stability of breather-type solutions of the nonlinear Schrödinger equation

Numerical investigation of stability of breather-type solutions of the nonlinear Schrödinger equation

In this article we conduct a broad numerical investigation of stability of breather-type solutions of the nonlinear Schrödinger (NLS) equation, a widely used model of rogue wave generation and dynamics in deep water. NLS breathers rising over an unstable background state are frequently used to model...

Full description

Bibliographic Details
Main Authors:	A. Calini, C. M. Schober
Format:	Article
Language:	English
Published:	Copernicus Publications 2014-06-01
Series:	Natural Hazards and Earth System Sciences
Online Access:	http://www.nat-hazards-earth-syst-sci.net/14/1431/2014/nhess-14-1431-2014.pdf

Similar Items

On the Stabilization of Breather-type Solutions of the Damped Higher Order Nonlinear Schrödinger Equation
by: C. M. Schober, et al.
Published: (2021-04-01)

Breathers and Soliton Solutions for a Generalization of the Nonlinear Schrödinger Equation
by: Hai-Feng Zhang, et al.
Published: (2013-01-01)

Breather Turbulence: Exact Spectral and Stochastic Solutions of the Nonlinear Schrödinger Equation
by: Alfred R. Osborne
Published: (2019-04-01)

Existence of multiple breathers for discrete nonlinear Schrodinger equations
by: Tao Zhou, et al.
Published: (2019-02-01)

Multisoliton Solutions and Breathers for the Coupled Nonlinear Schrödinger Equations via the Hirota Method
by: Ting-Ting Jia, et al.
Published: (2016-01-01)

Soliton and Breather Solutions for the Mixed Nonlinear Schrödinger Equation via N-Fold Darboux Transformation
by: Hui-Qin Hao, et al.
Published: (2014-01-01)

Rogue waves: from nonlinear Schrödinger breather solutions to sea-keeping test.
by: Miguel Onorato, et al.
Published: (2013-01-01)

Periodically revived elliptical cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equation
by: Zhi-Ping Dai, et al.
Published: (2021-04-01)

Numerical investigations of breather solitons in nonlinear vibratory lattices
by: Walden, Cleon A.
Published: (2013)

Symmetries of solutions for nonlinear Schrödinger equations: Numerical and theoretical approaches
by: Grumiau, Christopher prjg
Published: (2010)

Spatiotemporal superposed rogue-wave-like breathers in a (3+1)-dimensional variable-coefficient nonlinear Schrödinger equation
by: Hai-Ping Zhu, et al.
Published: (2016-01-01)

Existence and orbital stability of normalized solutions for nonlinear Schrödinger equations
by: Gou, Tianxiang
Published: (2017)

Stability of solitary solutions to the cubic-quintic nonlinear Schrodinger equation (CQNLSE)
by: M. M. Golshan, et al.
Published: (2003-12-01)

Soliton Solutions of the Nonlinear Schrödinger Equation.
by: Middlemas, Erin
Published: (2013)

Stabilization of solutions to higher-order nonlinear Schrodinger equation with localized damping
by: Eleni Bisognin, et al.
Published: (2007-01-01)

On global properties of solutions of some nonlinear Schrödinger-type equations
by: Koo, Eva Hang
Published: (2012)

On global properties of solutions of some nonlinear Schrödinger-type equations
by: Koo, Eva Hang
Published: (2012)

On global properties of solutions of some nonlinear Schrödinger-type equations
by: Koo, Eva Hang
Published: (2012)

Stability of solitary solutions to the cubic-quintic coupled nonlinear Schrödinger equation(CQCNLSE)
by: M. Moradi, et al.
Published: (2006-12-01)

Topics in the Numerical Analysis of Nonlinear Schrodinger Equations
by: Shyr, Fu-Chung, et al.
Published: (1990)

Structured matrix numerical solution of the nonlinear schrodinger equation by the inverse scattering transform
by: Sebastiano Seatzu, et al.
Published: (2009-01-01)

Nontrivial Solutions for Time Fractional Nonlinear Schrödinger-Kirchhoff Type Equations
by: N. Nyamoradi, et al.
Published: (2017-01-01)

Self-Similar Solutions for Nonlinear Schrödinger Equations
by: Yaojun Ye
Published: (2009-01-01)

The rational solutions of the mixed nonlinear Schrödinger equation
by: Jingsong He, et al.
Published: (2015-01-01)

Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation
by: Chen Yue, et al.
Published: (2016-01-01)

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

A numerical study of the spectrum of the nonlinear Schrodinger equation
by: Olivier, Carel Petrus
Published: (2008)

An Efficient Numerical Method for the Solution of the Schrödinger Equation
by: Licheng Zhang, et al.
Published: (2016-01-01)

Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations
by: Zeid I. A. Al-Muhiameed, et al.
Published: (2012-01-01)

Asymptotic expansion of solutions to the nonlinear Schrödinger equation with power nonlinearity
by: Masaki, Satoshi
Published: (2010)

The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics
by: Alvaro H. Salas, et al.
Published: (2020-01-01)

Existence and Stability of Standing Waves for Nonlinear Fractional Schrödinger Equations with Hartree Type and Power Type Nonlinearities
by: Na Zhang, et al.
Published: (2016-01-01)

Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law
by: Wei Gao, et al.
Published: (2019-12-01)

Strichartz estimates and the nonlinear Schrödinger-type equations
by: Dinh, Van Duong
Published: (2018)

The Nonlinear Schrödinger Equation
Published: (2022)

KdV type asymptotics for solutions to higher-order nonlinear Schrodinger equations
by: Pavel I. Naumkin, et al.
Published: (2020-07-01)

New solution algorithm of coupled nonlinear system of Schrodinger equations
by: A. Neirameh, et al.
Published: (2018-03-01)

On Solutions of an Extended Nonlocal Nonlinear Schrödinger Equation in Plasmas
by: Yehui Huang, et al.
Published: (2020-07-01)

The analytic solutions of Schrödinger equation with Cubic-Quintic nonlinearities
by: Chun-Yan Wang
Published: (2018-09-01)

On comparison of approximate solutions for linear and nonlinear schrodinger equations
by: Zeliha Korpinar
Published: (2019-05-01)