On the inhomogeneous fourth-order nonlinear Schrodinger equation

被引：29
|
作者：
Hayashi, Nakao [1 ]
Naumkin, Pavel I. [2 ]
机构：
[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan
[2] UNAM, Ctr Ciencias Matemat, Morelia 58089, Michoacan, Mexico
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 09期
关键词：
LONG-RANGE SCATTERING; GLOBAL EXISTENCE; LARGE TIME; ASYMPTOTICS;
D O I：
10.1063/1.4929657
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the Cauchy problem for the inhomogeneous fourth-order nonlinear Schrodinger equations. We find the large time asymptotics of solutions to the Cauchy problem. We use the factorization technique similar to that developed for the Schrodinger equation. (C) 2015 AIP Publishing LLC.
引用
收藏
页数：25
相关论文
共 50 条
  • [1] A note on the inhomogeneous fourth-order Schrodinger equation
    Saanouni, T.
    Ghanmi, R.
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2022, 13 (04)
  • [2] Soliton Solutions and Conservation Laws for an Inhomogeneous Fourth-Order Nonlinear Schrodinger Equation
    Wang, Pan
    Qi, Feng-Hua
    Yang, Jian-Rong
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (11) : 1856 - 1864
  • [3] A NOTE ON FOURTH-ORDER NONLINEAR SCHRODINGER EQUATION
    Saanouni, Tarek
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (01) : 249 - 266
  • [4] Factorization technique for the fourth-order nonlinear Schrodinger equation
    Hayashi, Nakao
    Naumkin, Pavel I.
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (05): : 2343 - 2377
  • [5] Scattering of solutions to the fourth-order nonlinear Schrodinger equation
    Hayashi, Nakao
    Mendez-Navarro, Jesus A.
    Naumkin, Pavel I.
    [J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 18 (03)
  • [6] Asymptotics for the fourth-order nonlinear Schrodinger equation in the critical case
    Hayashi, Nakao
    Mendez-Navarro, Jesus A.
    Naumkin, Pavel I.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (09) : 5144 - 5179
  • [7] Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrodinger Equation
    Zhang, Yan
    Liu, Yinping
    Tang, Xiaoyan
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2017, 72 (04): : 339 - 344
  • [8] Large time asymptotics for the fourth-order nonlinear Schrodinger equation
    Hayashi, Nakao
    Naumkin, Pavel I.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (03) : 880 - 905
  • [9] Dynamics of solitons in the fourth-order nonlocal nonlinear Schrodinger equation
    Gadzhimuradov, T. A.
    Agalarov, A. M.
    Radha, R.
    Arasan, B. Tamil
    [J]. NONLINEAR DYNAMICS, 2020, 99 (02) : 1295 - 1300
  • [10] A fourth-order explicit schemes for the coupled nonlinear Schrodinger equation
    Ismail, M. S.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (01) : 273 - 284
12345