THE WIGNER TRANSFORM OF SOLITON-SOLUTIONS FOR THE NONLINEAR SCHRODINGER-EQUATION

被引：10

作者：

KONNO, H

LOMDAHL, PS

机构：

[1] LOS ALAMOS NATL LAB, DIV THEORET, LOS ALAMOS, NM 87545 USA

[2] LOS ALAMOS NATL LAB, CTR NONLINEAR STUDIES, LOS ALAMOS, NM 87545 USA

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1994年 / 63卷 / 11期

关键词：

NONLINEAR SCHRODINGER EQUATION; WIGNER TRANSFORM; WAVELET; SOLITON-SOLITON INTERACTION; QUANTUM-CLASSICAL CORRESPONDENCE; SOLITON IN OPEN SYSTEMS;

D O I：

10.1143/JPSJ.63.3967

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Wigner function, a kind of wavelet transform is studied for one- and two-soliton solutions to the nonlinear Schrodinger equation. The exact expression of the Wigner transform for the one-soliton solution is obtained. The features of soliton-soliton interaction of different two-soliton states, the states of coherence analogous to that of two-localized wave packets in quantum mechanics, are displayed. Suitability of this transform for analyzing ''soliton'' in open systems is also discussed.

引用

页码：3967 / 3973

页数：7

共 50 条

[31] Integrability and dark soliton solutions for a high-order variable coefficients nonlinear Schrodinger equation
Huang, Qian-Min
APPLIED MATHEMATICS LETTERS, 2019, 93 : 29 - 33
[32] EFFECT OF THE 3RD-ORDER DISPERSION ON THE NONLINEAR SCHRODINGER-EQUATION
OIKAWA, M
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1993, 62 (07) : 2324 - 2333
[33] SPATIAL STRUCTURE OF THE FOCUSING SINGULARITY OF THE NONLINEAR SCHRODINGER-EQUATION - A GEOMETRICAL ANALYSIS
KOPELL, N
LANDMAN, M
SIAM JOURNAL ON APPLIED MATHEMATICS, 1995, 55 (05) : 1297 - 1323
[34] Two-dimensional dark soliton in the nonlinear Schrodinger equation
Sakaguchi, Hidetsugu
Higashiuchi, Tomoko
PHYSICS LETTERS A, 2006, 359 (06) : 647 - 651
[35] A QUANTUM-MECHANICS ANALOGY FOR THE NONLINEAR SCHRODINGER-EQUATION IN THE FINITE LINE
RAMOS, JI
VILLATORO, FR
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 28 (04) : 3 - 17
[36] Soliton structures of a nonlinear Schrodinger equation involving the parabolic law
Salahshour, S.
Hosseini, K.
Mirzazadeh, M.
Baleanu, D.
OPTICAL AND QUANTUM ELECTRONICS, 2021, 53 (12)
[37] Optical quasi-soliton solutions for the cubic-quintic nonlinear Schrodinger equation with variable coefficients
Yang, Q
Zhang, JF
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2005, 19 (31): : 4629 - 4636
[38] Emergent soliton-like solutions in the parametrically driven 1-D nonlinear Schrodinger equation
Dileep, K.
Murugesh, S.
PHYSICA SCRIPTA, 2023, 98 (04)
[39] Dynamical stricture of optical soliton solutions and variational principle of nonlinear Schrodinger equation with Kerr law nonlinearity
Seadawy, Aly R.
Alsaedi, Bayan A.
MODERN PHYSICS LETTERS B, 2024, 38 (28):
[40] Optical quasi-soliton solutions for higher-order nonlinear Schrodinger equation with variable coefficients
Zhang, JF
Yang, Q
Dai, CQ
OPTICS COMMUNICATIONS, 2005, 248 (1-3) : 257 - 265

← 1 2 3 4 5 →