[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 …
A 'firewall'effect during the rogue wave and breather interactions to the Manakov system
BQ Li, YL Ma - Nonlinear Dynamics, 2023 - Springer
By the means of reconstructing the Darboux transformation to the Manakov system, we
obtain the new explicit solutions composed of a rogue wave and a breather for the system …
obtain the new explicit solutions composed of a rogue wave and a breather for the system …
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 …
High-order rogue waves in vector nonlinear Schrödinger equations
We study the dynamics of high-order rogue waves (RWs) in two-component coupled
nonlinear Schrödinger equations. We find that four fundamental rogue waves can emerge …
nonlinear Schrödinger equations. We find that four fundamental rogue waves can emerge …
Akhmediev breathers, Ma solitons, and general breathers from rogue waves: A case study in the Manakov system
We present explicit forms of general breather (GB), Akhmediev breather (AB), Ma soliton
(MS), and rogue wave (RW) solutions of the two-component nonlinear Schrödinger (NLS) …
(MS), and rogue wave (RW) solutions of the two-component nonlinear Schrödinger (NLS) …
Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations
We derive generalized localized wave solution formula for mixed coupled nonlinear
Schödinger equations (mCNLSE) by performing the unified Darboux transformation. Based …
Schödinger equations (mCNLSE) by performing the unified Darboux transformation. Based …
Multi-rogue waves and rational solutions of the coupled nonlinear Schrödinger equations
BG Zhai, WG Zhang, XL Wang, HQ Zhang - Nonlinear Analysis: Real World …, 2013 - Elsevier
In this paper, the modified Darboux transformation method is applied to the coupled
nonlinear Schrödinger (CNLS) equations. By using the iterative algorithm of the Darboux …
nonlinear Schrödinger (CNLS) equations. By using the iterative algorithm of the Darboux …
Classification of beating solitons, their physical spectra, and second-order nonlinear superpositions
C Liu, WJ Che, N Akhmediev - Physical Review E, 2024 - APS
We obtained the full set of multiparameter vector beating soliton solutions for Manakov
equations in both focusing and defocusing cases. Based on exact solutions, physical …
equations in both focusing and defocusing cases. Based on exact solutions, physical …
Theoretical and experimental evidence of non-symmetric doubly localized rogue waves
We present determinant expressions for vector rogue wave (RW) solutions of the Manakov
system, a two-component coupled nonlinear Schrödinger (NLS) equation. As a special case …
system, a two-component coupled nonlinear Schrödinger (NLS) equation. As a special case …
Adaptive-wave alternative for the Black-Scholes option pricing model
VG Ivancevic - Cognitive Computation, 2010 - Springer
A nonlinear wave alternative for the standard Black-Scholes option-pricing model is
presented. The adaptive-wave model, representing controlled Brownian behavior of …
presented. The adaptive-wave model, representing controlled Brownian behavior of …