Reduction of Chern-Simons-Schrödinger Systems in One Space Dimension

Journal of Applied Mathematics ◽

10.1155/2013/631089 ◽

2013 ◽

Vol 2013 ◽

pp. 1-4 ◽

Cited By ~ 4

Author(s):

Hyungjin Huh

Keyword(s):

Space Dimension ◽

Gauge Condition ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Schrödinger Systems ◽

Chern Simons ◽

One Space Dimension

We study Chern-Simons-Schrödinger systems in one space dimension. We show that Chern-Simons-Schrödinger and𝒩=2supersymmetric Chern-Simons-Schrödinger equations can be reduced, under the gauge conditionA1≡0, to equations ofϕ,ψonly which are coupled cubic Schrödinger systems.

Download Full-text

Global existence for a class of cubic nonlinear Schrödinger equations in one space dimension

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1350911962 ◽

2001 ◽

Vol 30 (2) ◽

pp. 451-473 ◽

Cited By ~ 11

Author(s):

Satoshi TONEGAWA

Keyword(s):

Global Existence ◽

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

Download Full-text

Global existence of solutions for nonlinear schrödinger equations in one space dimension

Communications in Partial Differential Equations ◽

10.1080/03605309408821079 ◽

1994 ◽

Vol 19 (11-12) ◽

pp. 1971-1997 ◽

Cited By ~ 15

Author(s):

Soichiro Katayama ◽

Yoshio Tsutsumi

Keyword(s):

Global Existence ◽

Space Dimension ◽

Existence Of Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Global Existence Of Solutions ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

Download Full-text

Convergence of a conservative difference scheme for a class of Klein–Gordon–Schrödinger equations in one space dimension

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.02.010 ◽

2005 ◽

Vol 163 (1) ◽

pp. 343-355 ◽

Cited By ~ 39

Author(s):

Luming Zhang

Keyword(s):

Difference Scheme ◽

Space Dimension ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Conservative Difference Scheme ◽

Klein Gordon ◽

Conservative Difference ◽

One Space Dimension

Download Full-text

Finite charge solutions to cubic Schrödinger equations with a nonlocal nonlinearity in one space dimension

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2013.33.789 ◽

2013 ◽

Vol 33 (2) ◽

pp. 789-801

Author(s):

Kei Nakamura ◽

◽

Tohru Ozawa ◽

Keyword(s):

Space Dimension ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlocal Nonlinearity ◽

One Space Dimension

Download Full-text

Almost global existence for cubic nonlinear Schrödinger equations in one space dimension

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017089 ◽

2017 ◽

Vol 37 (4) ◽

pp. 2077-2102

Author(s):

Jason Murphy ◽

◽

Fabio Pusateri ◽

Keyword(s):

Global Existence ◽

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

Download Full-text

Local existence for the semilinear Schrödinger equations in one space dimension

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250519015 ◽

1994 ◽

Vol 34 (2) ◽

pp. 353-367 ◽

Cited By ~ 5

Author(s):

Hiroyuki Chihara

Keyword(s):

Space Dimension ◽

Local Existence ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

One Space Dimension

Download Full-text

On quadratic derivative Schrödinger equations in one space dimension

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-07-04207-9 ◽

2007 ◽

Vol 359 (08) ◽

pp. 3589-3607 ◽

Cited By ~ 6

Author(s):

Atanas Stefanov

Keyword(s):

Space Dimension ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

One Space Dimension

Download Full-text

The initial value problem for nonlinear Schrödinger equations with a dissipative nonlinearity in one space dimension

Journal of Evolution Equations ◽

10.1007/s00028-016-0327-5 ◽

2016 ◽

Vol 16 (4) ◽

pp. 983-995 ◽

Cited By ~ 7

Author(s):

Guangzhi Jin ◽

Yuanfeng Jin ◽

Chunhua Li

Keyword(s):

Initial Value Problem ◽

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Initial Value ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Dissipative Nonlinearity ◽

One Space Dimension

Download Full-text

A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension

Asymptotic Analysis ◽

10.3233/asy-161362 ◽

2016 ◽

Vol 98 (1-2) ◽

pp. 79-90 ◽

Cited By ~ 5

Author(s):

Donghyun Kim

Keyword(s):

Space Dimension ◽

Decay Rates ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

Download Full-text

Corrigendum to "The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension" [Discrete Contin. Dyn. Syst., 36 (2016), 5743–5761]

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020192 ◽

2020 ◽

Vol 40 (7) ◽

pp. 4577-4578

Author(s):

Yuji Sagawa ◽

◽

Hideaki Sunagawa ◽

Keyword(s):

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

Download Full-text