Existence and multiplicity of positive solutions for two coupled nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2013.33.2911 ◽

2013 ◽

Vol 33 (7) ◽

pp. 2911-2938 ◽

Author(s):

Tai-Chia Lin ◽

◽

Tsung-Fang Wu ◽

Keyword(s):

Positive Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Existence And Multiplicity ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Multiplicity Of Positive Solutions

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Existence and uniqueness of positive solutions to three coupled nonlinear Schrödinger equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-015-0524-y ◽

2015 ◽

Vol 31 (4) ◽

pp. 1021-1032

Author(s):

Guo-bei Fang ◽

Zhong-xue Lü

Keyword(s):

Positive Solutions ◽

Existence And Uniqueness ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Positive solutions to some systems of coupled nonlinear Schrödinger equations

Nonlinear Analysis ◽

10.1016/j.na.2014.07.021 ◽

2014 ◽

Vol 110 ◽

pp. 104-112 ◽

Author(s):

Eduardo Colorado

Keyword(s):

Positive Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2012.11.1003 ◽

2012 ◽

Vol 11 (3) ◽

pp. 1003-1011 ◽

Author(s):

Juncheng Wei ◽

◽

Wei Yao ◽

Keyword(s):

Positive Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Instabilities of multiphase wave trains in coupled nonlinear Schrödinger equations: A bisymplectic framework

Journal of Mathematical Physics ◽

10.1063/1.1996831 ◽

2005 ◽

Vol 46 (8) ◽

pp. 082701 ◽

Author(s):

F. E. Laine-Pearson

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Wave Trains ◽

Coupled Nonlinear Schrodinger Equations

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Solitonic solutions and Bäcklund transformation for the inhomogeneous N-coupled nonlinear Schrödinger equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2008.09.033 ◽

2009 ◽

Vol 388 (2-3) ◽

pp. 209-217 ◽

Author(s):

Xiang-Hua Meng ◽

Bo Tian ◽

Tao Xu ◽

Hai-Qiang Zhang ◽

Qian Feng

Keyword(s):

Bäcklund Transformation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Backlund Transformation ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Similarity reductions for variable-coefficient coupled nonlinear Schrodinger equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/26/16/025 ◽

1993 ◽

Vol 26 (16) ◽

pp. 4093-4106 ◽

Author(s):

N Manganaro ◽

D F Parker

Keyword(s):

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Similarity Reductions

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Soliton interactions for coupled nonlinear Schrödinger equations with symbolic computation

Nonlinear Dynamics ◽

10.1007/s11071-014-1474-2 ◽

2014 ◽

Vol 78 (1) ◽

pp. 755-770 ◽

Author(s):

Wen-Jun Liu ◽

Nan Pan ◽

Long-Gang Huang ◽

Ming Lei

Keyword(s):

Symbolic Computation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations

Computer Physics Communications ◽

10.1016/j.cpc.2011.07.009 ◽

2011 ◽

Vol 182 (12) ◽

pp. 2519-2529 ◽

Author(s):

Mehdi Dehghan ◽

Ameneh Taleei

Keyword(s):

Soliton Solution ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Chebyshev Pseudospectral

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Exact Soliton Solutions, Shape Changing Collisions, and Partially Coherent Solitons in Coupled Nonlinear Schrödinger Equations

Physical Review Letters ◽

10.1103/physrevlett.86.5043 ◽

2001 ◽

Vol 86 (22) ◽

pp. 5043-5046 ◽

Author(s):

T. Kanna ◽

M. Lakshmanan

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Partially Coherent ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Exact Soliton Solutions

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On convergence and stability of a numerical scheme of Coupled Nonlinear Schrödinger Equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.04.038 ◽

2008 ◽

Vol 55 (4) ◽

pp. 745-759 ◽

Author(s):

Bartosz Reichel ◽

Sergey Leble

Keyword(s):

Numerical Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Convergence And Stability ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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