Modulational instability and localized breather in discrete Schrödinger equation with helicoidal hopping and a power-law nonlinearity

Physics Letters A ◽

10.1016/j.physleta.2018.04.038 ◽

2018 ◽

Vol 382 (27) ◽

pp. 1778-1786

Author(s):

Wei Qi ◽

Zi-Hao Li ◽

Jiang-Tao Cai ◽

Guan-Qiang Li ◽

Hai-Feng Li

Keyword(s):

Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Modulational Instability ◽

Discrete Schrödinger Equation

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Existence of solitary waves for the discrete Schrödinger equation coupled to a nonlinear oscillator

Russian Journal of Mathematical Physics ◽

10.1134/s1061920808040067 ◽

2008 ◽

Vol 15 (4) ◽

pp. 487-492 ◽

Author(s):

E. A. Kopylova

Keyword(s):

Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Oscillator ◽

Discrete Schrödinger Equation

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Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.12.009 ◽

2012 ◽

Vol 17 (8) ◽

pp. 3247-3257 ◽

Author(s):

Shou-Fu Tian ◽

Li Zou ◽

Qi Ding ◽

Hong-Qing Zhang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Matter Wave ◽

Nonlinear Schrödinger

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Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation

The European Physical Journal B ◽

10.1140/epjb/e2009-00356-3 ◽

2009 ◽

Vol 72 (2) ◽

pp. 233-239 ◽

Author(s):

Hai-Qiang Zhang ◽

Bo Tian ◽

Xiang-Hua Meng ◽

Xing Lü ◽

Wen-Jun Liu

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Shallow Potential Wells for the Discrete Schrödinger Equation

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 ◽

10.1007/978-3-642-55856-6_139 ◽

2003 ◽

pp. 857-861

Author(s):

Joel A. Rodriguez-Ceballos ◽

Peter N. Zhevandrov

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Potential Wells ◽

Discrete Schrödinger Equation

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Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4931594 ◽

2015 ◽

Vol 25 (10) ◽

pp. 103112 ◽

Author(s):

Yunqing Yang ◽

Zhenya Yan ◽

Boris A. Malomed

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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Resonant optical solitons of nonlinear Schrödinger equation with dual power law nonlinearity

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.122445 ◽

2020 ◽

Vol 543 ◽

pp. 122445

Author(s):

M.M. El-Dessoky ◽

Saeed Islam

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Optical Solitons ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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Solitons in the nonlinear Schrödinger equation with two power-law nonlinear terms modulated in time and space

Physical Review E ◽

10.1103/physreve.95.062208 ◽

2017 ◽

Vol 95 (6) ◽

Author(s):

Houria Triki ◽

K. Porsezian ◽

Amitava Choudhuri

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time And Space ◽

Nonlinear Schrödinger

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New soliton and periodic solutions of (1+2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2009.10.028 ◽

2010 ◽

Vol 15 (10) ◽

pp. 2747-2754 ◽

Author(s):

Li-Hua Zhang ◽

Jian-Guo Si

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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Optical Solitary Wave Solutions for the Conformable Perturbed Nonlinear Schrödinger Equation with Power Law Nonlinearity

Journal of Advanced Physics ◽

10.1166/jap.2018.1390 ◽

2018 ◽

Vol 7 (1) ◽

pp. 49-57 ◽

Author(s):

Mustafa Inc ◽

Abdullahi Yusuf ◽

Aliyu Isa Aliyu ◽

Selahattin Gülsen ◽

Dumitru Baleanu

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

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An asymmetric form of the discrete Schrodinger equation with application to the inverse tunnelling problem

Journal of Physics A General Physics ◽

10.1088/0305-4470/14/9/017 ◽

1981 ◽

Vol 14 (9) ◽

pp. 2215-2225

Author(s):

M Hron ◽

M Razavy

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Discrete Schrödinger Equation ◽

Asymmetric Form

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