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 …
Schrödinger equation by using the nonstandard Hirota method. This unconventional method …
[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 …
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 …
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
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 …
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
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 …
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 …
system) are derived using a Darboux-dressing transformation with an asymptotic expansion …
Quantitative relations between modulational instability and several well-known nonlinear excitations
We study the relations between modulational instability and several well-known nonlinear
excitations in a nonlinear fiber such as bright soliton, nonlinear continuous wave …
excitations in a nonlinear fiber such as bright soliton, nonlinear continuous wave …
Polarization modulation instability in a Manakov fiber system
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 …
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 …
equations. Evolution that starts with a single pair of sidebands expands over several higher …