Dynamics in discrete two-dimensional nonlinear Schrödinger equations in the presence of point defects

P. L. Christiansen; Yu. B. Gaididei; K. Ø Rasmussen; V. K. Mezentsev; J. Juul Rasmussen

doi:10.1103/physrevb.54.900

Dynamics in discrete two-dimensional nonlinear Schrödinger equations in the presence of point defects

Physical Review B ◽

10.1103/physrevb.54.900 ◽

1996 ◽

Vol 54 (2) ◽

pp. 900-912 ◽

Cited By ~ 36

Author(s):

P. L. Christiansen ◽

Yu. B. Gaididei ◽

K. Ø Rasmussen ◽

V. K. Mezentsev ◽

J. Juul Rasmussen

Keyword(s):

Point Defects ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations

Communications in Partial Differential Equations ◽

10.1080/03605302.2011.626099 ◽

2012 ◽

Vol 37 (4) ◽

pp. 732-752 ◽

Cited By ~ 3

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Global Existence ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Two-Dimensional Nonlinear Schrodinger Equations and Their Properties

10.21236/ada272184 ◽

1993 ◽

Author(s):

D. J. Kaup ◽

Ronald E. Kates

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrödinger equations

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-02092-6 ◽

2021 ◽

Vol 136 (10) ◽

Author(s):

Cestmir Burdik ◽

Gaukhar Shaikhova ◽

Berik Rakhimzhanov

Keyword(s):

Traveling Wave ◽

Soliton Solutions ◽

Traveling Wave Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Nonlinear Schrodinger Equations

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Standing Waves for Nonlinear Schrodinger Equations with a General Nonlinearity: One and Two Dimensional Cases

Communications in Partial Differential Equations ◽

10.1080/03605300701518174 ◽

2008 ◽

Vol 33 (6) ◽

pp. 1113-1136 ◽

Cited By ~ 22

Author(s):

Jaeyoung Byeon ◽

Louis Jeanjean ◽

Kazunaga Tanaka

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

General Nonlinearity

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Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials

Applied and Computational Mathematics ◽

10.11648/j.acm.20130206.18 ◽

2013 ◽

Vol 2 (6) ◽

pp. 152 ◽

Cited By ~ 3

Author(s):

Nalan Antar

Keyword(s):

Exact Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the compact difference scheme for the two‐dimensional coupled nonlinear Schrödinger equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22855 ◽

2021 ◽

Author(s):

Mohamed Rahmeni ◽

Khaled Omrani

Keyword(s):

Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Coupled Nonlinear Schrödinger Equations ◽

Compact Difference Scheme ◽

Nonlinear Schrödinger ◽

Compact Difference ◽

Nonlinear Schrodinger Equations

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Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations

Journal of Evolution Equations ◽

10.1007/s00028-020-00585-y ◽

2020 ◽

Author(s):

Younghun Hong ◽

Chulkwang Kwak ◽

Shohei Nakamura ◽

Changhun Yang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Invariant tori for two-dimensional nonlinear Schrödinger equations with large forcing terms

Journal of Mathematical Physics ◽

10.1063/1.5074094 ◽

2019 ◽

Vol 60 (5) ◽

pp. 052703

Author(s):

Jiansheng Geng ◽

Shuaishuai Xue

Keyword(s):

Invariant Tori ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Implicit–explicit multistep methods for general two-dimensional nonlinear Schrödinger equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.06.003 ◽

2016 ◽

Vol 109 ◽

pp. 41-60 ◽

Cited By ~ 8

Author(s):

Yali Gao ◽

Liquan Mei

Keyword(s):

Multistep Methods ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients

The European Physical Journal B ◽

10.1140/epjb/e2016-70420-0 ◽

2016 ◽

Vol 89 (10) ◽

Cited By ~ 11

Author(s):

Kannan Manikandan ◽

Murugaian Senthilvelan ◽

Roberto André Kraenkel

Keyword(s):

Rogue Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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