Doubly periodic solutions of the class-I infinitely extended nonlinear Schrödinger equation

Physical Review E ◽

10.1103/physreve.99.052217 ◽

2019 ◽

Vol 99 (5) ◽

Author(s):

M. Crabb ◽

N. Akhmediev

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Class I ◽

Nonlinear Schrödinger

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Quasi-periodic solutions for derivative nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2012.32.2101 ◽

2012 ◽

Vol 32 (6) ◽

pp. 2101-2123 ◽

Author(s):

Meina Gao ◽

◽

Jianjun Liu ◽

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Doubly periodic solutions of the focusing nonlinear Schrödinger equation: Recurrence, period doubling, and amplification outside the conventional modulation-instability band

Physical Review A ◽

10.1103/physreva.101.023843 ◽

2020 ◽

Vol 101 (2) ◽

Author(s):

Matteo Conforti ◽

Arnaud Mussot ◽

Alexandre Kudlinski ◽

Stefano Trillo ◽

Nail Akhmediev

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Period Doubling ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Recurrence Period

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On instability for the quintic nonlinear Schrodinger equation of some approximate periodic solutions

Indiana University Mathematics Journal ◽

10.1512/iumj.2012.61.4911 ◽

2012 ◽

Vol 61 (6) ◽

pp. 2053-2083

Author(s):

Jeremy Marzuola ◽

Scipio Cuccagna

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Vector optical soliton and periodic solutions of a coupled fractional nonlinear Schrödinger equation

Results in Physics ◽

10.1016/j.rinp.2020.103036 ◽

2020 ◽

Vol 17 ◽

pp. 103036 ◽

Author(s):

Ben-Hai Wang ◽

Peng-Hong Lu ◽

Chao-Qing Dai ◽

Yi-Xiang Chen

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation

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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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New Exact Travelling Wave and Periodic Solutions of Discrete Nonlinear Schrödinger Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/43/2/011 ◽

2005 ◽

Vol 43 (2) ◽

pp. 240-244 ◽

Author(s):

Yang Qin ◽

Dai Chao-Qing ◽

Zhang Jie-Fang

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Travelling Wave ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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Complex periodic solutions of the nonlinear Schrödinger equation and nondegenerate multicomponent cnoidal waves in parametric frequency conversion

Quantum Electronics ◽

10.1070/qe2007v037n06abeh013494 ◽

2007 ◽

Vol 37 (6) ◽

pp. 561-564 ◽

Author(s):

V M Petnikova ◽

Vladimir V Shuvalov

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Frequency Conversion ◽

Nonlinear Schrodinger Equation ◽

Cnoidal Waves ◽

Nonlinear Schrödinger ◽

Parametric Frequency

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On the quasi-periodic solutions to the discrete nonlinear Schrodinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/20/2/015 ◽

1987 ◽

Vol 20 (2) ◽

pp. 293-303 ◽

Author(s):

S Ahmad ◽

A R Chowdhury

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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On the construction of almost periodic solutions for a nonlinear Schrödinger equation

Ergodic Theory and Dynamical Systems ◽

10.1017/s0143385702001086 ◽

2002 ◽

Vol 22 (05) ◽

Author(s):

JÜRGEN PÖSCHEL

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Nonlinear Schrödinger

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The IST spectral portraits of the first order doubly periodic solutions of the nonlinear Schrödinger equation

Physica Scripta ◽

10.1088/1402-4896/abbaf3 ◽

2020 ◽

Vol 95 (11) ◽

pp. 115202

Author(s):

N Akhmediev ◽

J M Soto-Crespo

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

First Order ◽

Nonlinear Schrödinger

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