Bound and ground states of coupled nonlinear Schrödinger equations

Antonio Ambrosetti; Eduardo Colorado

doi:10.1016/j.crma.2006.01.024

Bound and ground states of coupled nonlinear Schrödinger equations

Comptes Rendus Mathematique ◽

10.1016/j.crma.2006.01.024 ◽

2006 ◽

Vol 342 (7) ◽

pp. 453-458 ◽

Cited By ~ 115

Author(s):

Antonio Ambrosetti ◽

Eduardo Colorado

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

Existence and concentration of ground states of coupled nonlinear Schrödinger equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.09.083 ◽

2007 ◽

Vol 332 (2) ◽

pp. 846-862 ◽

Cited By ~ 4

Author(s):

Gong-Ming Wei

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

Existence and concentration of ground states of coupled nonlinear Schrödinger equations with bounded potentials

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-007-0104-4 ◽

2008 ◽

Vol 29 (3) ◽

pp. 247-264 ◽

Cited By ~ 1

Author(s):

Gongming Wei

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

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 ◽

Cited By ~ 1

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

Download Full-text

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 ◽

Cited By ~ 13

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

Download Full-text

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 ◽

Cited By ~ 17

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

Download Full-text

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 ◽

Cited By ~ 12

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

Download Full-text

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 ◽

Cited By ~ 33

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

Download Full-text

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 ◽

Cited By ~ 199

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

Download Full-text

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 ◽

Cited By ~ 26

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

Download Full-text

Optical solitons in a new type of coupled nonlinear Schrödinger equations

Journal of Modern Optics ◽

10.1080/09500340110069543 ◽

2001 ◽

Vol 48 (12) ◽

pp. 1863-1867 ◽

Cited By ~ 1

Author(s):

Nakkeeran K.

Keyword(s):

Optical Solitons ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

New Type ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text