MULTISOLITON SOLUTIONS OF A COUPLED SYSTEM OF THE NONLINEAR SCHRODINGER-EQUATION AND THE MAXWELL-BLOCH EQUATIONS

被引：45

作者：

KAKEI, S ^{[1
]}

SATSUMA, J ^{[1
]}

机构：

[1] UNIV TOKYO, DEPT MATH SCI, MEGURO KU, TOKYO 153, JAPAN

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1994年 / 63卷 / 03期

关键词：

SOLITON; NONLINEAR SCHRODINGER EQUATION; MAXWELL-BLOCH EQUATIONS; GRASSMANN FORMULATION; CASORATI DETERMINANT;

D O I：

10.1143/JPSJ.63.885

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Multi-soliton solutions of a coupled system of the nonlinear Schrodinger equation and the Maxwell-Bloch equations are given. Solutions of the system are explicitly constructed as a quotient of Casorati-type determinants. By using explicit form of the soliton solutions, the influence of the MB-term on the speed of soliton is evaluated.

引用

页码：885 / 894

页数：10

共 50 条

[1] OPTICAL SOLITON PROPAGATION IN A COUPLED SYSTEM OF THE NONLINEAR SCHRODINGER-EQUATION AND THE MAXWELL-BLOCH EQUATIONS
PORSEZIAN, K
NAKKEERAN, K
[J]. JOURNAL OF MODERN OPTICS, 1995, 42 (09) : 1953 - 1958
[2] Soliton solutions of coupled Maxwell-Bloch equations
Chakravarty, S.
[J]. PHYSICS LETTERS A, 2016, 380 (11-12) : 1141 - 1150
[3] COMPACTNESS OF THE SET OF MULTISOLITON SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION
LUNDINA, DS
MARCHENKO, VA
[J]. RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1993, 75 (02) : 429 - 443
[4] Degenerate soliton, breather and localized solutions for a nonlinear Schrodinger and Maxwell-Bloch system
Xiao, Yun-Shan
Hu, Song-Hua
Jin, Yi-Dong
Xie, Xi-Yang
[J]. APPLIED MATHEMATICS LETTERS, 2021, 121
[5] ADDENDUM TO SIMPLE MULTISOLITON SOLUTIONS - MULTISOLITONS OF THE NONLINEAR SCHRODINGER-EQUATION
ABDELRAHMAN, AMM
[J]. AMERICAN JOURNAL OF PHYSICS, 1985, 53 (01) : 85 - 86
[6] Modulation instability and breathers synchronization of the nonlinear Schrodinger Maxwell-Bloch equation
Zuo, Da-Wei
[J]. APPLIED MATHEMATICS LETTERS, 2018, 79 : 182 - 186
[7] COMPLEX SOLUTIONS FOR MAXWELL-BLOCH EQUATIONS
ANDREEV, VA
[J]. KVANTOVAYA ELEKTRONIKA, 1983, 10 (10): : 2045 - 2048
[8] ASYMPTOTIC BEHAVIORS OF MULTISOLITON SOLUTIONS OF THE CUBIC AND THE MODIFIED NONLINEAR SCHRODINGER-EQUATION
CHEN, ZY
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1990, 13 (03) : 299 - 306
[9] Numerical solutions of the Maxwell-Bloch laser equations
Guo, BY
Martin, I
PerezGarcia, VM
Vazquez, L
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 129 (01) : 181 - 189
[10] Nonlinear waves of the Hirota and the Maxwell-Bloch equations in nonlinear optics
Li Chuan-Zhong
He Jing-Song
Porseizan, K.
[J]. CHINESE PHYSICS B, 2013, 22 (04)

← 1 2 3 4 5 →