Dynamics and interaction of pulses in the modified Manakov model

2006 ◽  
Vol 266 (2) ◽  
pp. 660-668 ◽  
Author(s):  
Eduard N. Tsoy ◽  
Nail Akhmediev
Keyword(s):  
Manakov Model

Algorithms for solving scattering problems for the Manakov model of nonlinear Schrödinger equations

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Leonid L. Frumin
Keyword(s):  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Numerical Algorithms ◽  
Scattering Problems ◽  
Block Matrices ◽  
Nonlinear Schrödinger ◽  
Direct Scattering ◽  
Vector Case ◽  
Manakov Model ◽  
Vector Variant

AbstractWe introduce numerical algorithms for solving the inverse and direct scattering problems for the Manakov model of vector nonlinear Schrödinger equation. We have found an algebraic group of 4-block matrices with off-diagonal blocks consisting of special vector-like matrices for generalizing the scalar problem’s efficient numerical algorithms to the vector case. The inversion of block matrices of the discretized system of Gelfand–Levitan–Marchenko integral equations solves the inverse scattering problem using the vector variant the Toeplitz Inner Bordering algorithm of Levinson’s type. The reversal of steps of the inverse problem algorithm gives the solution of the direct scattering problem. Numerical tests confirm the proposed vector algorithms’ efficiency and stability. We also present an example of the algorithms’ application to simulate the Manakov vector solitons’ collision.

Soliton trapping and daughter waves in the Manakov model

1993 ◽  
Vol 48 (1) ◽  
pp. 599-604 ◽  
Author(s):  
D. J. Kaup ◽  
B. A. Malomed
Keyword(s):  
Manakov Model

The triple Wronskian solutions to the variable-coefficient Manakov model

2016 ◽  
Vol 30 (28n29) ◽  
pp. 1640031
Author(s):  
Yi Zhang ◽  
Kun Ma
Keyword(s):  
Bilinear Form ◽  
Variable Coefficient ◽  
Wronskian Technique ◽  
Manakov Model

In this paper, the variable-coefficient Manakov model whose bilinear form exists is mainly discussed. Based on the Wronskian technique, the triple Wronskian form solutions are obtained and the interactions between the two solitons are investigated.

scholarly journals N-Soliton Collision in the Manakov Model

2004 ◽  
Vol 111 (2) ◽  
pp. 151-182 ◽  
Author(s):  
T. Tsuchida
Keyword(s):  
Soliton Collision ◽  
Manakov Model

Optical soliton molecules of Manakov model by trial equation technique

Optik ◽  
2019 ◽  
Vol 185 ◽  
pp. 1146-1151 ◽  
Author(s):  
Yakup Yıldırım
Keyword(s):  
Optical Soliton ◽  
Manakov Model
Sign in / Sign up

Export Citation Format

Share Document