Parametric frequency conversion, nonlinear Schrödinger equation, and multicomponent cnoidal waves

Physical Review E ◽

10.1103/physreve.76.046611 ◽

2007 ◽

Vol 76 (4) ◽

Author(s):

V. M. Petnikova ◽

V. V. Shuvalov

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Frequency Conversion ◽

Nonlinear Schrodinger Equation ◽

Cnoidal Waves ◽

Nonlinear Schrödinger ◽

Parametric Frequency

Download Full-text

Nonlinear Schrödinger equation and multicomponent cnoidal waves in parametric frequency conversion

Quantum Electronics ◽

10.1070/qe2007v037n03abeh013467 ◽

2007 ◽

Vol 37 (3) ◽

pp. 266-272 ◽

Author(s):

V M Petnikova ◽

Vladimir V Shuvalov

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Frequency Conversion ◽

Nonlinear Schrodinger Equation ◽

Cnoidal Waves ◽

Nonlinear Schrödinger ◽

Parametric Frequency

Download Full-text

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

Download Full-text

Nonlinear Schrodinger equation and non-degenerate multi-component cnoidal waves in parametric frequency conversion

10.1117/12.751395 ◽

2007 ◽

Author(s):

V. M. Petnikova ◽

V. V. Shuvalov

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Frequency Conversion ◽

Nonlinear Schrodinger Equation ◽

Cnoidal Waves ◽

Nonlinear Schrödinger ◽

Parametric Frequency

Download Full-text

Nonlinear Schrödinger equation and semiclassical description of the microwave-to-optical frequency conversion based on the Lamb–Retherford experiment

Indian Journal of Physics ◽

10.1007/s12648-019-01476-w ◽

2019 ◽

Vol 94 (2) ◽

pp. 161-174

Author(s):

Sergey A. Rashkovskiy

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Frequency Conversion ◽

Nonlinear Schrodinger Equation ◽

Optical Frequency ◽

Nonlinear Schrödinger ◽

Optical Frequency Conversion

Download Full-text

Nonlinear Schrödinger Equation-Based Adjoint Sensitivity Analysis

2020 International Applied Computational Electromagnetics Society Symposium (ACES) ◽

10.23919/aces49320.2020.9196096 ◽

2020 ◽

Author(s):

Mahmoud M. T. Maghrabi ◽

Mohamed H. Bakr ◽

Shiva Kumar

Keyword(s):

Sensitivity Analysis ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Adjoint Sensitivity Analysis ◽

Adjoint Sensitivity ◽

Nonlinear Schrödinger

Download Full-text

Higher-order nonlinear Schrödinger equation in 2D case

Tohoku Mathematical Journal ◽

10.2748/tmj/1585101619 ◽

2020 ◽

Vol 72 (1) ◽

pp. 15-37

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text

Some properties of small perturbations against a stationary solution of the nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.109570 ◽

2020 ◽

Vol 132 ◽

pp. 109570

Author(s):

Mikhail N. Smolyakov

Keyword(s):

Schrödinger Equation ◽

Stationary Solution ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Small Perturbations ◽

Nonlinear Schrödinger

Download Full-text

Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4931710 ◽

2015 ◽

Vol 25 (10) ◽

pp. 103114 ◽

Author(s):

D. J. Kedziora ◽

A. Ankiewicz ◽

A. Chowdury ◽

N. Akhmediev

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Time Variable ◽

Integrable Equations ◽

Nonlinear Schrödinger

Download Full-text

Lie Symmetry Analysis of the Nonlinear Schrödinger Equation with Time Dependent Variable Coefficients

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-00953-3 ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Preeti Devi ◽

K. Singh

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Lie Symmetry ◽

Nonlinear Schrodinger Equation ◽

Symmetry Analysis ◽

Time Dependent ◽

Lie Symmetry Analysis ◽

Nonlinear Schrödinger

Download Full-text

Rogue wave patterns in the nonlinear Schrödinger equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2021.132850 ◽

2021 ◽

Vol 419 ◽

pp. 132850

Author(s):

Bo Yang ◽

Jianke Yang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Download Full-text