Modulational instability, nonautonomous breathers and rogue waves for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas

Lei Wang; Min Li; Feng-Hua Qi; Tao Xu

doi:10.1063/1.4915516

Modulational instability, nonautonomous breathers and rogue waves for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas

Physics of Plasmas ◽

10.1063/1.4915516 ◽

2015 ◽

Vol 22 (3) ◽

pp. 032308 ◽

Cited By ~ 21

Author(s):

Lei Wang ◽

Min Li ◽

Feng-Hua Qi ◽

Tao Xu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Modulational Instability ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Breathers and breather-rogue waves on a periodic background for the derivative nonlinear Schrödinger equation

Physica Scripta ◽

10.1088/1402-4896/ab783e ◽

2020 ◽

Vol 95 (5) ◽

pp. 055216

Author(s):

Bo Xue ◽

Jing Shen ◽

Xianguo Geng

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4931594 ◽

2015 ◽

Vol 25 (10) ◽

pp. 103112 ◽

Cited By ~ 32

Author(s):

Yunqing Yang ◽

Zhenya Yan ◽

Boris A. Malomed

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Fifth Order

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Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-021-06953-8 ◽

2021 ◽

Author(s):

Huijuan Zhou ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Time Derivative ◽

Rogue Waves ◽

Space Time ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-019-05140-0 ◽

2019 ◽

Vol 97 (4) ◽

pp. 2443-2452 ◽

Cited By ~ 6

Author(s):

Shuwei Xu ◽

Jingsong He ◽

Dumitru Mihalache

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Novel Solitary Pulses for a Variable-Coefficient Derivative Nonlinear Schrödinger Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.76.074004 ◽

2007 ◽

Vol 76 (7) ◽

pp. 074004 ◽

Cited By ~ 11

Author(s):

Kwok Wing Chow ◽

Lai Pan Yip ◽

Roger Grimshaw

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Rogue waves on the background of periodic standing waves in the derivative nonlinear Schrödinger equation

Physical Review E ◽

10.1103/physreve.103.062206 ◽

2021 ◽

Vol 103 (6) ◽

Author(s):

Jinbing Chen ◽

Dmitry E. Pelinovsky

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Standing Waves ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Periodic Standing Waves

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Odd‐Fold Darboux Transformation, Breather, Rogue‐Wave and Semirational Solutions on the Periodic Background for a Variable‐Coefficient Derivative Nonlinear Schrödinger Equation in an Inhomogeneous Plasma

Annalen der Physik ◽

10.1002/andp.202100231 ◽

2021 ◽

pp. 2100231

Author(s):

Su‐Su Chen ◽

Bo Tian ◽

Chen‐Rong Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Darboux Transformation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Rogue Wave ◽

Inhomogeneous Plasma ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas

Nonlinear Dynamics ◽

10.1007/s11071-011-0021-7 ◽

2011 ◽

Vol 67 (1) ◽

pp. 713-722 ◽

Cited By ~ 18

Author(s):

Lei Wang ◽

Yi-Tian Gao ◽

Zhi-Yuan Sun ◽

Feng-Hua Qi ◽

De-Xin Meng ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Darboux Transformation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Double Wronskian ◽

Derivative Nonlinear Schrödinger Equation

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Breather interactions, higher-order rogue waves and nonlinear tunneling for a derivative nonlinear Schrödinger equation in inhomogeneous nonlinear optics and plasmas

The European Physical Journal D ◽

10.1140/epjd/e2015-50877-1 ◽

2015 ◽

Vol 69 (4) ◽

Cited By ~ 16

Author(s):

Lei Wang ◽

Min Li ◽

Feng-Hua Qi ◽

Chao Geng

Keyword(s):

Nonlinear Optics ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.104915 ◽

2019 ◽

Vol 79 ◽

pp. 104915 ◽

Cited By ~ 1

Author(s):

Lijuan Guo ◽

Lihong Wang ◽

Yi Cheng ◽

Jingsong He

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Two Component ◽

Derivative Nonlinear Schrödinger Equation

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