SOLITON SOLUTION AND ITS PROPERTY OF UNSTABLE NONLINEAR SCHRODINGER-EQUATION

被引：50

作者：

YAJIMA, T

WADATI, M

机构：

[1] Institute of Physics, College of Arts and Sciences, University of Tokyo, Meguro-ku

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1990年 / 59卷 / 01期

关键词：

electron beam plasma; inverse scattering method; position shift; reductive perturbation method; unstable media;

D O I：

10.1143/JPSJ.59.41

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A nonlinear evolution equation iux+utt + κ|u|2u=0, κ>0, is derived from unstable Sine-Gordon equation utt - uxx- m2 sin u=0. The former nonlinear evolution equation, which we call unstable nonlinear Schrodinger equation, is solved by the inverse scattering method. It is shown that the position shifts for fast (slow) solitons, arising from their mutual collisions, are negative (positive). This is a property common to both nonlinear evolution equations. © 1990, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.

引用

页码：41 / 47

页数：7

共 7 条

[1] HIGHER-ORDER APPROXIMATION IN REDUCTIVE PERTURBATION METHOD .2. STRONGLY DISPERSIVE SYSTEM
KODAMA, Y
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1978, 45 (01) : 311 - 314
[2] TANAKA M, COMMUNICATION
[3] TANAKA M, 1988, SUPPL PROGR THEOR PH, V94, P138
[4] PERTURBATION METHOD FOR A NONLINEAR WAVE MODULATION .I.
TANIUTI, T
YAJIMA, N
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (08) : 1369 - &
[5] EXACT N-SOLITON SOLUTION OF KORTEWEG-DE VRIES EQUATION
WADATI, M
TODA, M
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1972, 32 (05) : 1403 - +
[6] SOLITONS IN AN UNSTABLE MEDIUM
YAJIMA, T
WADATI, M
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1987, 56 (09) : 3069 - 3081
[7] ZAKHAROV VE, 1972, ZH EKSP TEOR FIZ, V34, P62

← 1 →