Bifurcations and exact traveling wave solutions for the nonlinear Schrödinger equation with fourth-order dispersion and dual power law nonlinearity

Wave Solutions ◽

Order Dispersion ◽

Exact traveling wave solutions to the fourth-order dispersive nonlinear Schrödinger equation with dual-power law nonlinearity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3557 ◽

2015 ◽

Vol 39 (5) ◽

pp. 1135-1143 ◽

Cited By ~ 6

Author(s):

Douvagai ◽

Yakada Salathiel ◽

Gambo Betchewe ◽

Serge Yamigno Doka ◽

Kofane Timoleon Crepin

Keyword(s):

Schrödinger Equation ◽

Power Law ◽

Fourth Order ◽

Traveling Wave ◽

Schrodinger Equation ◽

Wave Solutions ◽

BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH FOURTH-ORDER DISPERSION AND CUBIC-QUINTIC NONLINEARITY

Journal of Applied Analysis & Computation ◽

10.11948/20200092 ◽

2020 ◽

Vol 10 (6) ◽

pp. 2722-2733

Author(s):

Yuanfen Xu ◽

◽

Lina Zhang ◽

Keyword(s):

Schrödinger Equation ◽

Fourth Order ◽

Traveling Wave ◽

Schrodinger Equation ◽

Quintic Nonlinearity ◽

Wave Solutions ◽

Order Dispersion

Bifurcation and new exact traveling wave solutions to time-space coupled fractional nonlinear Schrödinger equation

Physics Letters A ◽

10.1016/j.physleta.2021.127217 ◽

2021 ◽

Vol 395 ◽

pp. 127217

Author(s):

Tianyong Han ◽

Zhao Li ◽

Xue Zhang

Keyword(s):

Schrödinger Equation ◽

Traveling Wave ◽

Schrodinger Equation ◽

Fractional Nonlinear Schrödinger Equation

Wave Solutions ◽

Time Space ◽

Exact traveling wave solutions for resonance nonlinear Schrödinger equation with intermodal dispersions and the Kerr law nonlinearity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5827 ◽

2019 ◽

Vol 42 (18) ◽

pp. 7210-7221 ◽

Cited By ~ 14

Author(s):

Hari M. Srivastava ◽

Hatira Günerhan ◽

Behzad Ghanbari

Keyword(s):

Schrödinger Equation ◽

Traveling Wave ◽

Schrodinger Equation ◽

Wave Solutions ◽

Kerr Law ◽

Kerr Law Nonlinearity

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 ◽

Exact traveling wave solutions to the higher-order nonlinear Schrödinger equation having Kerr nonlinearity form using two strategic integrations.

The European Physical Journal Plus ◽

10.1140/epjp/s13360-020-00384-x ◽

2020 ◽

Vol 135 (4) ◽

Cited By ~ 1

Author(s):

Savaïssou Nestor ◽

Gambo Betchewe ◽

Mustafa Inc ◽

Serge Y. Doka

Keyword(s):

Schrödinger Equation ◽

Traveling Wave ◽

Schrodinger Equation ◽

Kerr Nonlinearity ◽

Higher Order ◽

Wave Solutions

Traveling wave solutions for complex nonlinear space–time fractional order (2 + 1)-dimensional Maccari dynamical system and Schrödinger equation with dual power law nonlinearity

SN Applied Sciences ◽

10.1007/s42452-019-0537-x ◽

2019 ◽

Vol 1 (6) ◽

Cited By ~ 2

Author(s):

Wilson Osafo Apeanti ◽

Dianchen Lu ◽

Hong Zhang ◽

David Yaro ◽

Saviour Worlanyo Akuamoah

Keyword(s):

Dynamical System ◽

Schrödinger Equation ◽

Fractional Order ◽

Power Law ◽

Traveling Wave ◽

Schrodinger Equation ◽

Space Time ◽

Wave Solutions ◽

Exact traveling wave solutions to the nonlinear Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.01.109 ◽

2014 ◽

Vol 233 ◽

pp. 109-115 ◽

Cited By ~ 4

Author(s):

Saïdou Abdoulkary ◽

Alidou Mohamadou ◽

Tibi Beda ◽

Betchewe Gambo ◽

Serge Y. Doka ◽

...

Keyword(s):

Schrödinger Equation ◽

Traveling Wave ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions

Exact traveling wave solutions and bifurcations of the generalized derivative nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-016-2741-1 ◽

2016 ◽

Vol 85 (2) ◽

pp. 1031-1037 ◽

Cited By ~ 5

Author(s):

Temesgen Desta Leta ◽

Jibin Li

Keyword(s):

Schrödinger Equation ◽

Traveling Wave ◽

Schrodinger Equation ◽

Generalized Derivative ◽

Derivative Nonlinear Schrödinger Equation

Wave Solutions ◽

Traveling Wave Solutions for a Nonlinear Schrodinger Equation with Derivative Terms

Advances in Applied Mathematics ◽

10.12677/aam.2021.104119 ◽

2021 ◽

Vol 10 (04) ◽

pp. 1103-1108

Author(s):

蓉华成

Keyword(s):

Schrödinger Equation ◽

Traveling Wave ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions