Coupled nonlinear Schrodinger equations for two-component wave systems

被引：10

作者：

Kajinaga, Y ^{[1
]}

Tsuchida, T ^{[1
]}

Wadati, M ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1998年 / 67卷 / 05期

关键词：

perturbation method of multiple scales; coupled nonlinear Klein-Gordon equations; integrable coupled nonlinear Schrodinger equations;

D O I：

10.1143/JPSJ.67.1565

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using the perturbation method of multiple scales, we derive coupled nonlinear Schrodinger equations as amplitude equations from coupled nonlinear Klein-Gordon equations. Such coupled nonlinear Schrodinger equations are not necessarily integrable. We present the reductions to the known integrable coupled nonlinear Schrodinger equations.

引用

页码：1565 / 1568

页数：4

共 50 条

[21] Darboux transformation for a two-component derivative nonlinear Schrodinger equation
Ling, Liming
Liu, Q. P.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (43)
[22] New maximal dimension of invariant subspaces to coupled systems with two-component equations
Song, Junquan
Shen, Shoufeng
Jin, Yongyang
Zhang, Jun
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (11) : 2984 - 2992
[23] Coupled Klein-Gordon equations and energy exchange in two-component systems
Khusnutdinova, K. R.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2007, 147 : 45 - 72
[24] Approximate nonlinear wave solutions of the coupled two-component Gross-Pitaevskii equations with spin-orbit interaction
Belobo, D. Belobo
Meier, T.
NEW JOURNAL OF PHYSICS, 2021, 23 (04):
[25] Yangian symmetry of the two-component Fermionic nonlinear Schrodinger model
Murakami, S
Wadati, M
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1996, 10 (13-14): : 1707 - 1716
[26] Symmetry and asymmetry rogue waves in two-component coupled nonlinear Schrdinger equations
李再东
霍丛哲
李秋艳
贺鹏斌
徐天赋
Chinese Physics B, 2018, (04) : 240 - 245
[27] Two-component soliton systems and the Painleve equations
Murata, Mikio
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (36)
[28] Integrable two-component systems of difference equations
Kassotakis, Pavlos
Nieszporski, Maciej
Papageorgiou, Vassilios
Tongas, Anastasios
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 476 (2234):
[29] Spike's in two coupled nonlinear Schrodinger equations
Lin, TC
Wei, JC
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2005, 22 (04): : 403 - 439
[30] Half-Skyrmions and spike-vortex solutions of two-component nonlinear Schrodinger systems
Lin, Tai-Chia
Wei, Juncheng
JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (05)

← 1 2 3 4 5 →