Solitons and Similaritons of a Generalized Nonlinear Schrödinger Equation with Variable Coefficients in a Power-Law Medium

Zeitschrift für Naturforschung A ◽

10.5560/zna.2012-0091 ◽

2013 ◽

Vol 68a ◽

pp. 212-218 ◽

Author(s):

Chao-Qing Dai ◽

Fang-Bo Yu ◽

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Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Rogue wave solutions to the generalized nonlinear Schrödinger equation with variable coefficients

Physical Review E ◽

10.1103/physreve.87.065201 ◽

2013 ◽

Vol 87 (6) ◽

Author(s):

Wei-Ping Zhong ◽

Milivoj R. Belić ◽

Tingwen Huang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions ◽

Generalized Nonlinear Schrödinger Equation

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Chirped self-similar solitary waves for the generalized nonlinear Schrödinger equation with distributed two-power-law nonlinearities

Physical Review E ◽

10.1103/physreve.100.042208 ◽

2019 ◽

Vol 100 (4) ◽

Author(s):

H. Triki ◽

K. Porsezian ◽

K. Senthilnathan ◽

K. Nithyanandan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Power Law ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Similar ◽

Generalized Nonlinear Schrödinger Equation

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Abundant exact solutions for the (3+1)-dimensional generalized nonlinear Schrödinger equation with variable coefficients

Chinese Journal of Physics ◽

10.1016/j.cjph.2020.03.010 ◽

2020 ◽

Vol 65 ◽

pp. 491-499 ◽

Author(s):

Mei Yang

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Abundant explicit exact solutions to the generalized nonlinear Schrödinger equation with parabolic law and dual-power law nonlinearities

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3069 ◽

2014 ◽

Vol 38 (2) ◽

pp. 296-310 ◽

Author(s):

Xiaoxiao Zheng ◽

Yadong Shang

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Parabolic Law ◽

Generalized Nonlinear Schrödinger Equation ◽

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Dark solitons for a generalized nonlinear Schrödinger equation with parabolic law and dual-power law nonlinearities

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1414 ◽

2011 ◽

Vol 34 (8) ◽

pp. 958-962 ◽

Author(s):

Houria Triki ◽

Anjan Biswas

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Parabolic Law ◽

Generalized Nonlinear Schrödinger Equation ◽

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Evolution of temporal soliton solution to the generalized nonlinear Schrödinger equation with variable coefficients and PT-symmetric potential

10.1117/12.2244771 ◽

2016 ◽

Author(s):

Yangbao Deng ◽

Guangfu Zhang ◽

Ye Tian ◽

Cuixiu Xiong ◽

Shuguang Deng

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Symmetric Potential ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Extended symmetry transformation of (3+1)-dimensional generalized nonlinear Schrödinger equation with variable coefficients

Chinese Physics B ◽

10.1088/1674-1056/22/1/010303 ◽

2013 ◽

Vol 22 (1) ◽

pp. 010303 ◽

Author(s):

Jian-Chun Jing ◽

Biao Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Symmetry Transformation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Evolution of analytic solutions to the (3+1)-dimensional generalized nonlinear Schrödinger equation with variable coefficients and optical lattice

Optik ◽

10.1016/j.ijleo.2017.08.013 ◽

2017 ◽

Vol 145 ◽

pp. 623-631 ◽

Author(s):

Yangbao Deng ◽

Shuguang Deng ◽

Xiaohui Shi ◽

Guangfu Zhang ◽

Ye Tian ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Optical Lattice ◽

Schrodinger Equation ◽

Analytic Solutions ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Evolution of optical solitary waves in a generalized nonlinear Schrödinger equation with variable coefficients

Nonlinear Dynamics ◽

10.1007/s11071-012-0616-7 ◽

2012 ◽

Vol 70 (3) ◽

pp. 2259-2267 ◽

Author(s):

Xiao-Fei Wu ◽

Guo-Sheng Hua ◽

Zheng-Yi Ma

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4931710 ◽

2015 ◽

Vol 25 (10) ◽

pp. 103114 ◽

Author(s):

D. J. Kedziora ◽

A. Ankiewicz ◽

A. Chowdury ◽

N. Akhmediev

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Time Variable ◽

Integrable Equations ◽

Nonlinear Schrödinger

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