An Integrable Decomposition of Defocusing Nonlinear Schr(o|¨)dinger Equation

被引：0

作者：

XIA Bao-Qiang~(1

机构：

来源：

Communications in Theoretical Physics | 2009年 / 52卷 / 08期

基金：

中国国家自然科学基金;

关键词：

nonlinearization of spectral problem; defocusing nonlinear Schr(o|¨)dinger equation; integrable Hamiltonian system;

D O I：

暂无

中图分类号：

O411 [物理学的数学方法];

学科分类号：

0701 ;

摘要：

The method of nonlinearization of spectral problems is developed to the defocusing nonlinear Schr(o|¨)dingerequation.As an application,an integrable decomposition of the defocusing nonlinear Schr(o|¨)dinger equation is presented.

引用

页码：203 / 205

页数：3

共 50 条

[1] Asymptotic behavior of solutions of defocusing integrable discrete nonlinear Schrödinger equation
Hideshi Yamane
[J]. Frontiers of Mathematics in China, 2013, 8 : 1077 - 1083
[2] Perturbations of the Defocusing Nonlinear Schrödinger Equation
B. Grébert
T. Kappeler
[J]. Milan Journal of Mathematics, 2003, 71 (1) : 141 - 174
[3] An Integrable Decomposition of Defocusing Nonlinear Schrodinger Equation
Xia Bao-Qiang
Zhou Ru-Guang
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 52 (02) : 203 - 205
[4] Integration of a defocusing nonlinear Schrödinger equation with additional terms
U. B. Muminov
A. B. Khasanov
[J]. Theoretical and Mathematical Physics, 2022, 211 : 514 - 531
[5] Energy scattering for a class of the defocusing inhomogeneous nonlinear Schrödinger equation
Van Duong Dinh
[J]. Journal of Evolution Equations, 2019, 19 : 411 - 434
[6] Quasi-periodic waves to the defocusing nonlinear Schrödinger equation
Zhang, Ying-Nan
Hu, Xing-Biao
Sun, Jian-Qing
[J]. NONLINEARITY, 2024, 37 (03)
[7] The Cauchy Problem for the Defocusing Nonlinear Schrödinger Equation with a Loaded Term
Muminov U.B.
Khasanov A.B.
[J]. Siberian Advances in Mathematics, 2022, 32 (4) : 277 - 298
[8] Solution of the Nonlinear Schrödinger Equation with Defocusing Strength Nonlinearities Through the Laplace–Adomian Decomposition Method
González-Gaxiola O.
Franco P.
Bernal-Jaquez R.
[J]. International Journal of Applied and Computational Mathematics, 2017, 3 (4) : 3723 - 3743
[9] Dressing for a Novel Integrable Generalization of the Nonlinear Schrödinger Equation
Jonatan Lenells
[J]. Journal of Nonlinear Science, 2010, 20 : 709 - 722
[10] Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation
Xianguo Geng
Yanyan Lv
[J]. Nonlinear Dynamics, 2012, 69 : 1621 - 1630

← 1 2 3 4 5 →