Modulation stability analysis and solitary wave solutions of nonlinear higher-order Schrödinger dynamical equation with second-order spatiotemporal dispersion

Aly R. Seadawy; Muhammad Arshad; Dianchen Lu

doi:10.1007/s12648-018-01361-y

Modulation stability analysis and solitary wave solutions of nonlinear higher-order Schrödinger dynamical equation with second-order spatiotemporal dispersion

Indian Journal of Physics ◽

10.1007/s12648-018-01361-y ◽

2019 ◽

Vol 93 (8) ◽

pp. 1041-1049 ◽

Cited By ~ 12

Author(s):

Aly R. Seadawy ◽

Muhammad Arshad ◽

Dianchen Lu

Keyword(s):

Stability Analysis ◽

Solitary Wave ◽

Dynamical Equation ◽

Higher Order ◽

Second Order ◽

Solitary Wave Solutions ◽

Wave Solutions

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Elliptic function and solitary wave solutions of the higher-order nonlinear Schrödinger dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity and its stability

The European Physical Journal Plus ◽

10.1140/epjp/i2017-11655-9 ◽

2017 ◽

Vol 132 (8) ◽

Cited By ~ 32

Author(s):

M. Arshad ◽

Aly R. Seadawy ◽

Dianchen Lu

Keyword(s):

Solitary Wave ◽

Fourth Order ◽

Elliptic Function ◽

Dynamical Equation ◽

Higher Order ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

Quintic Nonlinearity ◽

Wave Solutions ◽

Order Dispersion

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Existence and Orbital Stability of Solitary-Wave Solutions for Higher-Order BBM Equations

Journal of Mathematical Study ◽

10.4208/jms.v49n3.16.05 ◽

2016 ◽

Vol 49 (3) ◽

pp. 293-318 ◽

Cited By ~ 1

Author(s):

J. M. Yuan

Keyword(s):

Solitary Wave ◽

Orbital Stability ◽

Higher Order ◽

Solitary Wave Solutions ◽

Wave Solutions

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The new exact solitary wave solutions and stability analysis for the ( 2 + 1 ) $(2+1)$ -dimensional Zakharov–Kuznetsov equation

Advances in Difference Equations ◽

10.1186/s13662-019-1964-0 ◽

2019 ◽

Vol 2019 (1) ◽

Cited By ~ 25

Author(s):

Behzad Ghanbari ◽

Abdullahi Yusuf ◽

Mustafa Inc ◽

Dumitru Baleanu

Keyword(s):

Stability Analysis ◽

Solitary Wave ◽

Solitary Wave Solutions ◽

Wave Solutions

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Doubly periodic wave and folded solitary wave solutions for (2+1)-dimensional higher-order Broer–Kaup equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2005.09.020 ◽

2007 ◽

Vol 31 (1) ◽

pp. 54-63 ◽

Cited By ~ 5

Author(s):

Wenhua Huang ◽

Yulu Liu ◽

Zhiming Lu

Keyword(s):

Solitary Wave ◽

Periodic Wave ◽

Higher Order ◽

Solitary Wave Solutions ◽

Wave Solutions

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Bright–dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its applications in optics

Journal of Electromagnetic Waves and Applications ◽

10.1080/09205071.2017.1362361 ◽

2017 ◽

Vol 31 (16) ◽

pp. 1711-1721 ◽

Cited By ~ 28

Author(s):

Muhammad Arshad ◽

Aly R. Seadawy ◽

Dianchen Lu

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

Wave Solutions

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Generalized Kaup–Kupershmidt solitons and other solitary wave solutions of the higher order KdV equations

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/43/8/085208 ◽

2010 ◽

Vol 43 (8) ◽

pp. 085208 ◽

Cited By ~ 7

Author(s):

Georgy I Burde

Keyword(s):

Solitary Wave ◽

Higher Order ◽

Solitary Wave Solutions ◽

Kdv Equations ◽

Wave Solutions

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Modified KdV–Zakharov–Kuznetsov dynamical equation in a homogeneous magnetised electron–positron–ion plasma and its dispersive solitary wave solutions

Pramana ◽

10.1007/s12043-018-1595-0 ◽

2018 ◽

Vol 91 (2) ◽

Cited By ~ 15

Author(s):

Abdullah ◽

Aly R Seadawy ◽

Jun Wang

Keyword(s):

Solitary Wave ◽

Dynamical Equation ◽

Solitary Wave Solutions ◽

Wave Solutions ◽

Ion Plasma ◽

Electron Positron

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A Higher Order (2+1)-Dimensional Korteweg-de Vries Equation and Its Exact Solitary Wave Solutions

Communications in Theoretical Physics ◽

10.1088/0253-6102/14/2/221 ◽

1990 ◽

Vol 14 (2) ◽

pp. 221-224

Author(s):

Guo-xiang Huang ◽

Xian-xi Dai ◽

Sen-yue Lou

Keyword(s):

Solitary Wave ◽

Vries Equation ◽

Higher Order ◽

Solitary Wave Solutions ◽

Wave Solutions ◽

De Vries

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Solitary wave solutions to higher-order traffic flow model with large diffusion

Applied Mathematics and Mechanics ◽

10.1007/s10483-014-1781-x ◽

2014 ◽

Vol 35 (2) ◽

pp. 167-176

Author(s):

Xiao-xia Jian ◽

Peng Zhang ◽

S. C. Wong ◽

Dian-liang Qiao ◽

Kee-choo Choi

Keyword(s):

Solitary Wave ◽

Traffic Flow ◽

Flow Model ◽

Higher Order ◽

Solitary Wave Solutions ◽

Traffic Flow Model ◽

Wave Solutions ◽

Large Diffusion

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Solitary wave solutions and modulational instability analysis of the nonlinear Schrödinger equation with higher-order nonlinear terms in the left-handed nonlinear transmission lines

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.08.039 ◽

2015 ◽

Vol 22 (1-3) ◽

pp. 1288-1296 ◽

Cited By ~ 9

Author(s):

Saïdou Abdoulkary ◽

Alexis Danzabe Aboubakar ◽

Mahamoudou Aboubakar ◽

Alidou Mohamadou ◽

Louis Kavitha

Keyword(s):

Solitary Wave ◽

Transmission Lines ◽

Modulational Instability ◽

Higher Order ◽

Solitary Wave Solutions ◽

Nonlinear Transmission Lines ◽

Instability Analysis ◽

Nonlinear Transmission ◽

Left Handed ◽

Wave Solutions

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