New Exact Solutions for a Class of High-order Dispersive Cubic-quintic Nonlinear Schrodinger Equation

Ying Huang; Peng Liu

doi:10.5539/jmr.v6n4p104

New Exact Solutions for a Class of High-order Dispersive Cubic-quintic Nonlinear Schrodinger Equation

Journal of Mathematics Research ◽

10.5539/jmr.v6n4p104 ◽

2014 ◽

Vol 6 (4) ◽

Author(s):

Ying Huang ◽

Peng Liu

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

High Order ◽

Nonlinear Schrödinger ◽

New Exact Solutions ◽

Quintic Nonlinear Schrödinger Equation

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New exact solutions to the high dispersive cubic–quintic nonlinear Schrödinger equation

Physics Letters A ◽

10.1016/j.physleta.2018.06.023 ◽

2018 ◽

Vol 382 (36) ◽

pp. 2506-2514 ◽

Cited By ~ 14

Author(s):

Yingying Xie ◽

Zhaoyu Yang ◽

Lingfei Li

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

New Exact Solutions ◽

Quintic Nonlinear Schrödinger Equation

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New exact solutions for the cubic-quintic nonlinear Schrödinger equation

Communications in Mathematical Sciences ◽

10.4310/cms.2007.v5.n2.a1 ◽

2007 ◽

Vol 5 (2) ◽

pp. 243-252 ◽

Cited By ~ 1

Author(s):

E.V. Krishnan ◽

Yan-Ze Peng

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

New Exact Solutions ◽

Quintic Nonlinear Schrödinger Equation

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New types of exact solutions for the fourth-order dispersive cubic–quintic nonlinear Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.12.008 ◽

2011 ◽

Vol 217 (12) ◽

pp. 5967-5971 ◽

Cited By ~ 9

Author(s):

Gui-Qiong Xu

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Exact Solutions of the Two-Dimensional Cubic-Quintic Nonlinear Schrödinger Equation with Spatially Modulated Nonlinearities

Communications in Theoretical Physics ◽

10.1088/0253-6102/59/3/08 ◽

2013 ◽

Vol 59 (3) ◽

pp. 290-294 ◽

Cited By ~ 6

Author(s):

Xiang Song ◽

Hua-Mei Li

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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New Exact Envelope Traveling Wave Solutions of High-Order Dispersive Cubic-Quintic Nonlinear Schrödinger Equation

Communications in Theoretical Physics ◽

10.1088/6102/44/5/799 ◽

2005 ◽

Vol 44 (5) ◽

pp. 799-801 ◽

Cited By ~ 20

Author(s):

Cheng-Shi Liu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Traveling Wave ◽

Schrodinger Equation ◽

Traveling Wave Solutions ◽

Nonlinear Schrodinger Equation ◽

High Order ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Quintic Nonlinear Schrödinger Equation

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Exact solutions of the (2+1)-dimensional quintic nonlinear Schrödinger equation with variable coefficients

Nonlinear Dynamics ◽

10.1007/s11071-014-1891-2 ◽

2015 ◽

Vol 80 (1-2) ◽

pp. 583-589 ◽

Cited By ~ 19

Author(s):

Si-Liu Xu ◽

Nikola Petrović ◽

Milivoj R. Belić

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Exact solutions of the spherical quintic nonlinear Schrödinger equation

Physics Letters A ◽

10.1016/0375-9601(89)90636-1 ◽

1989 ◽

Vol 134 (5) ◽

pp. 276-281 ◽

Cited By ~ 37

Author(s):

L. Gagnon ◽

P. Winternitz

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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The defocusing nonlinear Schrödinger equation with t-periodic data: New exact solutions

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.02.003 ◽

2015 ◽

Vol 25 ◽

pp. 31-50

Author(s):

Jonatan Lenells

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

New Exact Solutions ◽

Periodic Data

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The $$\left( \frac{\boldsymbol{G}^{\prime }}{\boldsymbol{G}},\frac{\boldsymbol{1}}{\boldsymbol{G}}\right)$$ G ′ G , 1 G -expansion method and its applications for constructing many new exact solutions of the higher-order nonlinear Schrödinger equation and the quantum Zakharov–Kuznetsov equation

Optical and Quantum Electronics ◽

10.1007/s11082-018-1337-z ◽

2018 ◽

Vol 50 (2) ◽

Cited By ~ 8

Author(s):

Elsayed M. E. Zayed ◽

Ayad M. Shahoot ◽

Khaled A. E. Alurrfi

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Expansion Method ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

New Exact Solutions

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Exact solutions for the high-order dispersive cubic-quintic nonlinear Schrödinger equation by the extended hyperbolic auxiliary equation method

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2006.05.001 ◽

2007 ◽

Vol 34 (5) ◽

pp. 1608-1612 ◽

Cited By ~ 28

Author(s):

Shun-dong Zhu

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

High Order ◽

Equation Method ◽

Auxiliary Equation ◽

Auxiliary Equation Method ◽

Quintic Nonlinear Schrödinger Equation

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