On the reflection of solitons of the cubic nonlinear Schrodinger equation

被引：6
|
作者：
Katsaounis, Theodoros [1 ,2 ]
Mitsotakis, Dimitrios [3 ]
机构：
[1] King Abdullah Univ Sci & Technol KAUST, Comp Elect Math Sci & Engn CEMSE, Thuwal 239556900, Saudi Arabia
[2] FORTH, IACM, Iraklion, Greece
[3] Victoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New Zealand
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 03期
关键词：
nonlinear Schrodinger equation; relaxation method; soliton reflection; dark and bright solitons; WAVES;
D O I：
10.1002/mma.4070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we perform a numerical study on the interesting phenomenon of soliton reflection of solid walls. We consider the 2D cubic nonlinear Schrodinger equation as the underlying mathematical model, and we use an implicit-explicit type Crank-Nicolson finite element scheme for its numerical solution. After verifying the perfect reflection of the solitons on a vertical wall, we present the imperfect reflection of a dark soliton on a diagonal wall. Copyright (c) 2016 John Wiley & Sons, Ltd.
引用
收藏
页码：1013 / 1018
页数：6
相关论文
共 50 条
  • [1] Cusp solitons in the cubic quintic nonlinear Schrodinger equation
    Palacios, SL
    [J]. JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2001, 10 (03) : 293 - 296
  • [2] Solitons and Scattering for the Cubic-Quintic Nonlinear Schrodinger Equation on
    Killip, Rowan
    Oh, Tadahiro
    Pocovnicu, Oana
    Visan, Monica
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017, 225 (01) : 469 - 548
  • [3] New optical solitons of cubic-quartic nonlinear Schrodinger equation
    Hosseini, K.
    Samadani, F.
    Kumar, D.
    Faridi, M.
    [J]. OPTIK, 2018, 157 : 1101 - 1105
  • [4] ON THE POSSIBILITY TO IDENTIFY SOLITONS OF SCHRODINGER CUBIC EQUATION IN NONLINEAR OPTICAL MEDIUM
    PETRUNKIN, VY
    SELISHCHEV, AV
    SHCHERBAKOV, AS
    [J]. OPTIKA I SPEKTROSKOPIYA, 1988, 64 (03): : 698 - 700
  • [5] Multistable solitons in the cubic-quintic discrete nonlinear Schrodinger equation
    Carretero-Gonzalez, R.
    Talley, J. D.
    Chong, C.
    Malomed, B. A.
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2006, 216 (01) : 77 - 89
  • [6] Solitons for the cubic-quintic nonlinear Schrodinger equation with varying coefficients
    Chen Yuan-Ming
    Ma Song-Hua
    Ma Zheng-Yi
    [J]. CHINESE PHYSICS B, 2012, 21 (05)
  • [7] On vortex and dark solitons in the cubic-quintic nonlinear Schrodinger equation
    Paredes, Angel
    Salgueiro, Jose R.
    Michinel, Humberto
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2022, 437
  • [8] Radiation of solitons described by higher order cubic nonlinear Schrodinger equation
    Karpman, VI
    [J]. PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, : 396 - 401
  • [9] Envelope solitons of nonlinear Schrodinger equation with an anti-cubic nonlinearity
    Fedele, R
    Schamel, H
    Karpman, VI
    Shukla, PK
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (04): : 1169 - 1173
  • [10] Solitons for the cubic-quintic nonlinear Schrodinger equation with Raman effect in nonlinear optics
    Wang, Ping
    Shang, Tao
    Feng, Li
    Du, Yingjie
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2014, 46 (09) : 1117 - 1126
12345