Two-dimensional solitons and their interactions on a continuous-wave background

被引：1
|
作者：
Papacharalampous, IE
Nistazakis, HE
Kevrekidis, PG
Yannacopoulos, AN
Frantzeskakis, DJ
Malomed, BA
机构：
[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA
[2] Univ Aegean, Dept Stat & Actuarial Sci, Samos 83200, Karlovassi, Greece
[3] Tel Aviv Univ, Fac Engn, Dept Interdisciplinary Studies, IL-69978 Tel Aviv, Israel
[4] Univ Athens, Dept Phys, Athens 15784, Greece
来源：
PHYSICA SCRIPTA | 2002年 / 66卷 / 05期
关键词：
D O I：
10.1238/Physica.Regular.066a00367
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using a cubic-quintic nonlinear Schrodinger equation as a model, we study the existence and interactions of two-dimensional (2D) solitons on top of a continuous-wave background. It is shown that the 2D solitons exist in the form of dark or antidark lumps, which are described by an effective KP (Kadomtsev-Petviashvili)-I equation. Interactions and collisions of 2D solitons are investigated using both analytical and numerical techniques. The most remarkable feature of the interaction is formation of a transient long-lived quasi-bound state of two colliding solitons, before they separate.
引用
收藏
页码：367 / 375
页数：9
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