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
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
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页码:3967 / 3973
页数:7
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