Optical solitons for weakly nonlocal Schrödinger equation with parabolic law nonlinearity and external potential

New $\phi^{6}$ ϕ 6 -model expansion method and its applications to the resonant nonlinear Schrödinger equation with parabolic law nonlinearity

The European Physical Journal Plus ◽

10.1140/epjp/i2018-12288-2 ◽

2018 ◽

Vol 133 (10) ◽

Cited By ~ 5

Author(s):

Elsayed M. E. Zayed ◽

Abdul-Ghani Al-Nowehy ◽

Mona E. M. Elshater

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Expansion Method ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Parabolic Law Nonlinearity ◽

Model Expansion

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 ◽

Bright and dark solitons of a weakly nonlocal Schrödinger equation involving the parabolic law nonlinearity

Optik ◽

10.1016/j.ijleo.2020.166042 ◽

2021 ◽

Vol 227 ◽

pp. 166042

Author(s):

Kamyar Hosseini ◽

Soheil Salahshour ◽

Mohammad Mirzazadeh

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Dark Solitons ◽

Parabolic Law ◽

The $$\phi ^{6}$$ ϕ 6 -model expansion method for solving the nonlinear conformable time-fractional Schrödinger equation with fourth-order dispersion and parabolic law nonlinearity

Optical and Quantum Electronics ◽

10.1007/s11082-018-1426-z ◽

2018 ◽

Vol 50 (3) ◽

Cited By ~ 6

Author(s):

Elsayed M. E. Zayed ◽

Abdul-Ghani Al-Nowehy

Keyword(s):

Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Expansion Method ◽

Fractional Schrödinger Equation ◽

Parabolic Law ◽

Order Dispersion ◽

Fractional Schrodinger Equation ◽

Parabolic Law Nonlinearity ◽

Model Expansion

New solitons and conditional stability to the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity

Nonlinear Dynamics ◽

10.1007/s11071-020-06141-0 ◽

2021 ◽

Author(s):

Yingying Xie ◽

Lingfei Li ◽

Yue Kang

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Conditional Stability ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

New generalized ϕ6-model expansion method and its applications to the (3+1) dimensional resonant nonlinear Schrödinger equation with parabolic law nonlinearity

Optik ◽

10.1016/j.ijleo.2020.164702 ◽

2020 ◽

Vol 214 ◽

pp. 164702

Author(s):

Elsayed M.E. Zayed ◽

Abdul-Ghani Al-Nowehy

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Expansion Method ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Parabolic Law Nonlinearity ◽

Model Expansion

Qualitative Analysis and Explicit Exact Solitary, Kink and Anti-Kink Wave Solutions of the Generalized Nonlinear Schrödinger Equation with Parabolic Law Nonlinearity

Communications in Theoretical Physics ◽

10.1088/0253-6102/65/1/1 ◽

2016 ◽

Vol 65 (1) ◽

pp. 1-10 ◽

Cited By ~ 1

Author(s):

He Bin ◽

Meng Qing

Keyword(s):

Schrödinger Equation ◽

Qualitative Analysis ◽

Schrodinger Equation ◽

Wave Solutions ◽

Parabolic Law ◽

Kink Wave ◽

Generalized Nonlinear Schrödinger Equation ◽

Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients

Nonlinear Dynamics ◽

10.1007/s11071-021-06284-8 ◽

2021 ◽

Vol 104 (1) ◽

pp. 639-648 ◽

Cited By ~ 2

Author(s):

Tukur Abdulkadir Sulaiman ◽

Abdullahi Yusuf ◽

Marwan Alquran

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Optical Solitons ◽

Variable Coefficients ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Complex Wave

A Coupled Nonlinear Schrödinger Equation and Optical Solitons

Journal of the Physical Society of Japan ◽

10.1143/jpsj.61.2241 ◽

1992 ◽

Vol 61 (7) ◽

pp. 2241-2245 ◽

Cited By ~ 63

Author(s):

Miki Wadati ◽

Takeshi Iizuka ◽

Masato Hisakado

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Optical Solitons ◽

Coupled Nonlinear Schrödinger Equation

Nonlinear Schrödinger ◽

Breather solutions of the generalized nonlinear Schrödinger equation with spatially modulated parameters and a special external potential

The European Physical Journal Plus ◽

10.1140/epjp/i2014-14234-8 ◽

2014 ◽

Vol 129 (10) ◽

Cited By ~ 10

Author(s):

Wei-Ping Zhong ◽

Milivoj Belić

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Generalized Nonlinear Schrödinger Equation

External Potential ◽

Nonlinear Schrödinger ◽