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 ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Dynamical Behavior ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Fractional Nonlinear Schrödinger Equation ◽

Parabolic Law Nonlinearity

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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) ◽

Author(s):

Elsayed M. E. Zayed ◽

Abdul-Ghani Al-Nowehy ◽

Mona E. M. Elshater

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Expansion Method ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Parabolic Law Nonlinearity ◽

Model Expansion

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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 ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Conditional Stability ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Parabolic Law Nonlinearity

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Abundant explicit exact solutions to the generalized nonlinear Schrödinger equation with parabolic law and dual-power law nonlinearities

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3069 ◽

2014 ◽

Vol 38 (2) ◽

pp. 296-310 ◽

Author(s):

Xiaoxiao Zheng ◽

Yadong Shang

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Generalized Nonlinear Schrödinger Equation ◽

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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 ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Expansion Method ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Parabolic Law Nonlinearity ◽

Model Expansion

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Exact solutions of the time fractional nonlinear Schrödinger equation with two different methods

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4770 ◽

2018 ◽

Vol 41 (7) ◽

pp. 2664-2672 ◽

Author(s):

Elham Lashkarian ◽

S. Reza Hejazi

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation

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Various optical soliton for a weak fractional nonlinear Schrödinger equation with parabolic law

Results in Physics ◽

10.1016/j.rinp.2021.103998 ◽

2021 ◽

Vol 23 ◽

pp. 103998

Author(s):

S.T.R. Rizvi ◽

Aly R. Seadawy ◽

M. Younis ◽

S. Iqbal ◽

S. Althobaiti ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Fractional Nonlinear Schrödinger Equation

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Complete symmetry reductions, conservation laws and exact solutions for a (2 + 1)-dimensional nonlinear Schrödinger equation

Optik ◽

10.1016/j.ijleo.2021.166504 ◽

2021 ◽

Vol 232 ◽

pp. 166504

Author(s):

Hongyan Zhi

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Symmetry Reductions ◽

Complete Symmetry

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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 ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

General Nonlinearity ◽

Fractional Nonlinear Schrödinger Equation

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Exact solutions of a two-dimensional nonlinear Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2011.09.030 ◽

2012 ◽

Vol 25 (4) ◽

pp. 687-691 ◽

Author(s):

Aly R. Seadawy

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger

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Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative

Mathematical Sciences ◽

10.1007/s40096-021-00453-x ◽

2022 ◽

Author(s):

Yeşim Sağlam Özkan ◽

Esra Ünal Yılmaz

Keyword(s):

Schrödinger Equation ◽

Fractional Derivative ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Conformable Fractional Derivative ◽

Nonlinear Schrödinger

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