On the decay rate of the bright soliton for the perturbed nonlinear Schrödinger equation

Physica Scripta ◽

10.1088/0031-8949/76/6/003 ◽

2007 ◽

Vol 76 (6) ◽

pp. 613-616

Author(s):

Feng-de Zong ◽

Lei Wu ◽

Jie-fang Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Nonlinear Schrödinger

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Dark-bright soliton interactions in coupled nonautonomous nonlinear Schrödinger equation with complex potentials

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.110560 ◽

2021 ◽

Vol 143 ◽

pp. 110560

Author(s):

Sudipta Nandy ◽

Abhijit Barthakur

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Complex Potentials ◽

Bright Soliton ◽

Soliton Interactions ◽

Nonlinear Schrödinger

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Experimental Demonstration of the Oscillatory Snake Instability of the Bright Soliton of the(2+1)DHyperbolic Nonlinear Schrödinger Equation

Physical Review Letters ◽

10.1103/physrevlett.106.094101 ◽

2011 ◽

Vol 106 (9) ◽

Author(s):

S.-P. Gorza ◽

B. Deconinck ◽

Ph. Emplit ◽

T. Trogdon ◽

M. Haelterman

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Experimental Demonstration ◽

Nonlinear Schrödinger

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New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.023 ◽

2014 ◽

Vol 233 ◽

pp. 351-358 ◽

Author(s):

Fajun Yu ◽

Zhenya Yan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Rogue Waves ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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Approximate bright-soliton solution of the higher-order nonlinear Schrödinger equation

European Journal of Physics ◽

10.1088/1361-6404/abba00 ◽

2020 ◽

Vol 42 (1) ◽

pp. 015301

Author(s):

De-Xin Meng ◽

Ming-Yu Hu ◽

Tao Xu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Nonlinear Schrödinger ◽

Bright Soliton Solution

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Direct analysis of the bright-soliton collisions in the focusing vector nonlinear Schrödinger equation

EPL (Europhysics Letters) ◽

10.1209/0295-5075/92/50002 ◽

2010 ◽

Vol 92 (5) ◽

pp. 50002 ◽

Author(s):

Tao Xu ◽

Bo Tian ◽

Yu-Shan Xue ◽

Feng-Hua Qi

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Direct Analysis ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Nonlinear Schrödinger ◽

Soliton Collisions

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Dark–dark and dark–bright soliton interactions in the two-component defocusing nonlinear Schrödinger equation

Applicable Analysis ◽

10.1080/00036811.2011.618126 ◽

2011 ◽

Vol 92 (2) ◽

pp. 379-397 ◽

Author(s):

Garrett Dean ◽

Taylor Klotz ◽

Barbara Prinari ◽

Federica Vitale

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

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$$\mathbf{L^2}$$-decay rate for the critical nonlinear Schrödinger equation with a small smooth data

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-020-0621-3 ◽

2020 ◽

Vol 27 (2) ◽

Author(s):

Takayoshi Ogawa ◽

Takuya Sato

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.03.012 ◽

2019 ◽

Vol 74 ◽

pp. 268-281 ◽

Author(s):

L.A. Cisneros-Ake ◽

R. Carretero-González ◽

P.G. Kevrekidis ◽

B.A. Malomed

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Nonlinear Schrödinger ◽

Hyperbolic Dispersion

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Initial Phase Dependence of the Soliton Decay Rate for the Nonlinear Schrödinger Equation with a Lossy Term

Communications in Theoretical Physics ◽

10.1088/0253-6102/33/1/7 ◽

2000 ◽

Vol 33 (1) ◽

pp. 7-10 ◽

Author(s):

Lou SenYue

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Initial Phase ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Phase Dependence ◽

Nonlinear Schrödinger

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Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term

Nonlinear Dynamics ◽

10.1007/s11071-021-06411-5 ◽

2021 ◽

Author(s):

Lili Wang ◽

Zitong Luan ◽

Qin Zhou ◽

Anjan Biswas ◽

Abdullah Kamis Alzahrani ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Four Wave Mixing ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Wave Mixing ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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