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
相关论文
共 50 条
  • [31] Two-dimensional dissipative gap solitons
    Sakaguchi, Hidetsugu
    Malomed, Boris A.
    PHYSICAL REVIEW E, 2009, 80 (02):
  • [32] FROZEN SOLITONS IN A TWO-DIMENSIONAL FERROMAGNET
    STERN, A
    PHYSICAL REVIEW LETTERS, 1987, 59 (14) : 1506 - 1509
  • [33] Observation of two-dimensional multimode solitons
    Carmon, T
    Anastassiou, C
    Lan, S
    Kip, D
    Musslimani, ZH
    Segev, M
    Christodoulides, D
    OPTICS LETTERS, 2000, 25 (15) : 1113 - 1115
  • [34] Solitons in a two-dimensional electron gas
    Nerses, A
    Kunhardt, EE
    PHYSICS LETTERS A, 1999, 251 (02) : 137 - 142
  • [35] Two-dimensional optical lattice solitons
    Efremidis, NK
    Hudock, J
    Christodoulides, DN
    Fleischer, JW
    Cohen, O
    Segev, M
    PHYSICAL REVIEW LETTERS, 2003, 91 (21)
  • [36] Interactions between two-dimensional composite vector solitons carrying topological charges
    Musslimani, ZH
    Soljacic, M
    Segev, M
    Christodoulides, DN
    PHYSICAL REVIEW E, 2001, 63 (06):
  • [37] Self-similar optical solitons with continuous-wave background in a quadratic-cubic non-centrosymmetric waveguide
    Triki, Houria
    Bensalem, Chaouki
    Biswas, Anjan
    Khan, Salam
    Zhou, Qin
    Adesanya, Samuel
    Moshokoa, Seithuti P.
    Belic, Milivoj
    OPTICS COMMUNICATIONS, 2019, 437 : 392 - 398
  • [38] Interactions between two-dimensional composite vector solitons carrying topological charges
    Musslimani, Z.H.
    Soljačić, M.
    Segev, M.
    Christodoulides, D.N.
    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 63 (6 II): : 1 - 066608
  • [39] Solitons in a two-dimensional electron gas
    Nerses, A.
    Kunhardt, E.E.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1999, 251 (02): : 137 - 142
  • [40] Observation of two-dimensional superlattice solitons
    Heinrich, M.
    Kartashov, Y. V.
    Ramirez, L. P. R.
    Szameit, A.
    Dreisow, F.
    Keil, R.
    Nolte, S.
    Tuennermann, A.
    Vysloukh, V. A.
    Torner, L.
    OPTICS LETTERS, 2009, 34 (23) : 3701 - 3703
12345