Integrability conditions and solitonic solutions of the nonlinear Schrödinger equation with generalized dual-power nonlinearities, PT-symmetric potentials, and space- and time-dependent coefficients

Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Space And Time ◽

Integrability Conditions ◽

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 ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Time Dependent ◽

Lie Symmetry Analysis ◽

Nonlinear Schrödinger

New exact and approximate stationary solutions of (1+2)D nonlinear Schrödinger equation in dual-power media

Optics Communications ◽

10.1016/j.optcom.2014.12.069 ◽

2015 ◽

Vol 343 ◽

pp. 80-84 ◽

Cited By ~ 1

Author(s):

Jerzy Jasinski

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Stationary Solutions ◽

Nonlinear Schrödinger ◽

Hirota method for the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential

Annals of Physics ◽

10.1016/j.aop.2006.11.012 ◽

2007 ◽

Vol 322 (11) ◽

pp. 2545-2553 ◽

Cited By ~ 33

Author(s):

Zai-Dong Li ◽

Qiu-Yan Li ◽

Xing-Hua Hu ◽

Zhong-Xi Zheng ◽

Yubao Sun

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Linear Time ◽

Hirota Method ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Dependent Potential

Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.12.009 ◽

2012 ◽

Vol 17 (8) ◽

pp. 3247-3257 ◽

Cited By ~ 19

Author(s):

Shou-Fu Tian ◽

Li Zou ◽

Qi Ding ◽

Hong-Qing Zhang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Schrodinger Equation ◽

Modulational Instability ◽

Time Dependent ◽

Matter Wave ◽

Nonlinear Schrödinger

Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms

Physical Review A ◽

10.1103/physreva.51.4704 ◽

1995 ◽

Vol 51 (6) ◽

pp. 4704-4711 ◽

Cited By ~ 458

Author(s):

P. A. Ruprecht ◽

M. J. Holland ◽

K. Burnett ◽

Mark Edwards

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Time Dependent ◽

Neutral Atoms ◽

Nonlinear Schrödinger ◽

Time Dependent Solution

The Hydrodynamic Nonlinear Schrödinger Equation: Space and Time

Fluids ◽

10.3390/fluids1030023 ◽

2016 ◽

Vol 1 (3) ◽

pp. 23 ◽

Cited By ~ 12

Author(s):

Amin Chabchoub ◽

Roger Grimshaw

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Space And Time

Resonant optical solitons of nonlinear Schrödinger equation with dual power law nonlinearity

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.122445 ◽

2020 ◽

Vol 543 ◽

pp. 122445

Author(s):

M.M. El-Dessoky ◽

Saeed Islam

Keyword(s):

Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Optical Solitons ◽

Nonlinear Schrödinger ◽

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 ◽

Cited By ~ 27

Author(s):

Li-Hua Zhang ◽

Jian-Guo Si

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Power Law ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Collapse of Solutions of the Nonlinear Schrödinger Equation with a Time-Dependent Nonlinearity: Application to Bose-Einstein Condensates

Physical Review Letters ◽

10.1103/physrevlett.94.240405 ◽

2005 ◽

Vol 94 (24) ◽

Cited By ~ 52

Author(s):

V. V. Konotop ◽

P. Pacciani

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Bose Einstein

Solitons and other solutions to nonlinear Schrödinger equation with fourth-order dispersion and dual power law nonlinearity using several different techniques

The European Physical Journal Plus ◽

10.1140/epjp/i2017-11527-4 ◽

2017 ◽

Vol 132 (6) ◽

Cited By ~ 15

Author(s):

Elsayed M. E. Zayed ◽

Abdul-Ghani Al-Nowehy ◽

Mona E. M. Elshater

Keyword(s):

Schrödinger Equation ◽

Power Law ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Order Dispersion ◽