Influence of fractional time order on W-shaped and Modulation Instability gain in fractional Nonlinear Schrödinger Equation

Schrodinger Equation ◽

Modulation Instability ◽

Nonlinear Schrödinger ◽

Time Order ◽

Multi-peak solutions to fractional nonlinear Schrödinger equation with general nonlinearity

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2021.1900138 ◽

2021 ◽

pp. 1-26

Author(s):

Xudong Shang ◽

Pei Ma ◽

Jihui Zhang

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

General Nonlinearity ◽

The general mixed nonlinear Schrödinger equation: Darboux transformation, rogue wave solutions, and modulation instability

Advances in Difference Equations ◽

10.1186/s13662-016-0937-9 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Wenbo Li ◽

Chunyan Xue ◽

Lili Sun

Keyword(s):

Schrödinger Equation ◽

Darboux Transformation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Rogue Wave ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions

A Fast Conservative Scheme for the Space Fractional Nonlinear Schrödinger Equation with Wave Operator

Journal of Mathematical Study ◽

10.4208/jms.v54n4.21.06 ◽

2021 ◽

Vol 54 (4) ◽

pp. 407-426

Author(s):

MustafaAlmushaira & FeiLiu

Keyword(s):

Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Conservative Scheme ◽

Nonlinear Schrödinger ◽

Global existence and blowup on the energy space for the inhomogeneous fractional nonlinear Schrödinger equation

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018323 ◽

2019 ◽

Vol 24 (7) ◽

pp. 3335-3356 ◽

Cited By ~ 1

Author(s):

Congming Peng ◽

◽

Dun Zhao ◽

Keyword(s):

Global Existence ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Energy Space ◽

Nonlinear Schrödinger ◽

Multi-bump positive solutions of a fractional nonlinear Schrödinger equation in $\mathbb{R}^N$

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2016.15.413 ◽

2016 ◽

Vol 15 (2) ◽

pp. 413-428

Author(s):

Weiming Liu ◽

Lu Gan

Keyword(s):

Schrödinger Equation ◽

Positive Solutions ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Dark–bright optical solitary waves and modulation instability analysis with (2 + 1)-dimensional cubic-quintic nonlinear Schrödinger equation

Waves in Random and Complex Media ◽

10.1080/17455030.2018.1440096 ◽

2018 ◽

Vol 29 (3) ◽

pp. 393-402 ◽

Cited By ~ 8

Author(s):

Mustafa Inc ◽

Aliyu Isa Aliyu ◽

Abdullahi Yusuf ◽

Dumitru Baleanu

Keyword(s):

Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Modulation Instability ◽

Quintic Nonlinear Schrödinger Equation

Instability Analysis ◽

Nonlinear Schrödinger ◽

Dynamical behavior and exact solutions for time-fractional nonlinear Schrödinger equation with parabolic law nonlinearity

Optik ◽

10.1016/j.ijleo.2020.165331 ◽

2020 ◽

Vol 222 ◽

pp. 165331

Author(s):

Cheng Chen ◽

Yaolin Jiang ◽

Zuolei Wang ◽

Juanjuan Wu

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Schrodinger Equation ◽

Dynamical Behavior ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Fractional Nonlinear Schrödinger Equation ◽

Parabolic Law Nonlinearity

Periodic standing waves in the focusing nonlinear Schrödinger equation: Rogue waves and modulation instability

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2020.132378 ◽

2020 ◽

Vol 405 ◽

pp. 132378 ◽

Cited By ~ 4

Author(s):

Jinbing Chen ◽

Dmitry E. Pelinovsky ◽

Robert E. White

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Standing Waves ◽

Rogue Waves ◽

Nonlinear Schrödinger ◽

Periodic Standing Waves

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) ◽

Cited By ~ 8

Author(s):

Matteo Conforti ◽

Arnaud Mussot ◽

Alexandre Kudlinski ◽

Stefano Trillo ◽

Nail Akhmediev

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Schrodinger Equation ◽

Modulation Instability ◽

Period Doubling ◽

Nonlinear Schrödinger ◽

Recurrence Period

Optical solitons and modulation instability analysis of the (1 + 1)-dimensional coupled nonlinear Schrödinger equation

Communications in Theoretical Physics ◽

10.1088/1572-9494/ab617e ◽

2020 ◽

Vol 72 (2) ◽

pp. 025003 ◽

Cited By ~ 3

Author(s):

Tukur Abdulkadir Sulaiman ◽

Hasan Bulut

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Optical Solitons ◽

Coupled Nonlinear Schrödinger Equation

Instability Analysis ◽

Nonlinear Schrödinger ◽