Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation

KL Geng, BW Zhu, QH Cao, CQ Dai, YY Wang - Nonlinear Dynamics, 2023 - Springer
We obtain the nondegenerate one-and two-soliton solutions of the nonlocal nonlinear
Schrödinger equation by using the nonstandard Hirota method. This unconventional method …

[图书][B] Introduction to non-Kerr law optical solitons

A Biswas, S Konar - 2006 - taylorfrancis.com
Despite remarkable developments in the field, a detailed treatment of non-Kerr law media
has not been published. Introduction to non-Kerr Law Optical Solitons is the first book …

[PDF][PDF] Rogue wave, breathers and bright-dark-rogue solutions for the coupled Schrödinger equations

BL Guo, LM Ling - Chinese Physics Letters, 2011 - cpl.iphy.ac.cn
Rogue Wave, Breathers and Bright-Dark-Rogue Solutions for the Coupled Schrödinger
Equations Page 1 CHIN.PHYS.LETT. Vol.28, No.11(2011)110202 Rogue Wave, Breathers …

Modulational Instability in Crossing Sea States: A Possible Mechanism<? format?> for the Formation of Freak Waves

M Onorato, AR Osborne, M Serio - Physical review letters, 2006 - APS
Here we consider a simple weakly nonlinear model that describes the interaction of two-
wave systems in deep water with two different directions of propagation. Under the …

Darboux transformation and multi-dark soliton for N-component nonlinear Schrödinger equations

L Ling, LC Zhao, B Guo - Nonlinearity, 2015 - iopscience.iop.org
In this paper, we obtain a uniform Darboux transformation for multi-component coupled
nonlinear Schrödinger (NLS) equations, which can be reduced to all previously presented …

Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation

L Ling, BF Feng, Z Zhu - Physica D: Nonlinear Phenomena, 2016 - Elsevier
In the present paper, we are concerned with the general analytic solutions to the complex
short pulse (CSP) equation including soliton, breather and rogue wave solutions. With the …

Dynamics of rogue waves on a multisoliton background in a vector nonlinear Schrodinger equation

G Mu, Z Qin, R Grimshaw - SIAM Journal on Applied Mathematics, 2015 - SIAM
General higher-order rogue waves of a vector nonlinear Schrödinger equation (Manakov
system) are derived using a Darboux-dressing transformation with an asymptotic expansion …

Quantitative relations between modulational instability and several well-known nonlinear excitations

LC Zhao, L Ling - JOSA B, 2016 - opg.optica.org
We study the relations between modulational instability and several well-known nonlinear
excitations in a nonlinear fiber such as bright soliton, nonlinear continuous wave …

Polarization modulation instability in a Manakov fiber system

B Frisquet, B Kibler, J Fatome, P Morin, F Baronio… - Physical Review A, 2015 - APS
The Manakov model is the simplest multicomponent model of nonlinear wave theory: It
describes elementary stable soliton propagation and multisoliton solutions, and it applies to …

Higher-order modulation instability and multi-Akhmediev breathers of Manakov equations: Frequency jumps over the stable gaps between the instability bands

SC Chen, C Liu, N Akhmediev - Physical Review A, 2023 - APS
We study higher-order modulation instability phenomena in the frame of Manakov
equations. Evolution that starts with a single pair of sidebands expands over several higher …