Equivalence transformations and differential invariants of a generalized cubic–quintic nonlinear Schrödinger equation with variable coefficients

Nonlinear Dynamics ◽

10.1007/s11071-020-05940-9 ◽

2020 ◽

Vol 102 (1) ◽

pp. 339-348

Author(s):

Ruijuan Li ◽

Xuelin Yong ◽

Yuning Chen ◽

Yehui Huang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Differential Invariants ◽

Equivalence Transformations ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Nonlinear tunneling effect in the (2+1)-dimensional cubic-quintic nonlinear Schrödinger equation with variable coefficients

The European Physical Journal D ◽

10.1140/epjd/e2011-20031-6 ◽

2011 ◽

Vol 63 (1) ◽

pp. 141-148 ◽

Author(s):

C. Q. Dai ◽

Q. Yang ◽

J. D. He ◽

Y. Y. Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Tunneling Effect ◽

Nonlinear Schrödinger ◽

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 ◽

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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Solitary Waves for Cubic-Quintic Nonlinear Schrödinger Equation with Variable Coefficients

Communications in Theoretical Physics ◽

10.1088/0253-6102/45/2/029 ◽

2006 ◽

Vol 45 (2) ◽

pp. 343-346 ◽

Author(s):

Zhang Jin-Liang ◽

Wang Ming-Liang ◽

Li Xiang-Zheng

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients

Optics Communications ◽

10.1016/j.optcom.2004.10.001 ◽

2005 ◽

Vol 245 (1-6) ◽

pp. 383-390 ◽

Author(s):

Ruiyu Hao ◽

Lu Li ◽

Zhonghao Li ◽

Rongcao Yang ◽

Guosheng Zhou

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Soliton Interaction ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/39/14/013 ◽

2006 ◽

Vol 39 (14) ◽

pp. 3703-3713 ◽

Author(s):

M Senthilvelan ◽

M Torrisi ◽

A Valenti

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Differential Invariants ◽

Equivalence Transformations ◽

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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Lie Symmetry Analysis of the Nonlinear Schrödinger Equation with Time Dependent Variable Coefficients

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-00953-3 ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Preeti Devi ◽

K. Singh

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Lie Symmetry ◽

Nonlinear Schrodinger Equation ◽

Symmetry Analysis ◽

Time Dependent ◽

Lie Symmetry Analysis ◽

Nonlinear Schrödinger

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Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients

Nonlinear Dynamics ◽

10.1007/s11071-021-06284-8 ◽

2021 ◽

Vol 104 (1) ◽

pp. 639-648 ◽

Author(s):

Tukur Abdulkadir Sulaiman ◽

Abdullahi Yusuf ◽

Marwan Alquran

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Optical Solitons ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

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Analytical spatiotemporal soliton solutions to (3+1)-dimensional cubic-quintic nonlinear Schrödinger equation with distributed coefficients

Journal of Mathematical Physics ◽

10.1063/1.4754433 ◽

2012 ◽

Vol 53 (10) ◽

pp. 103704 ◽

Author(s):

Hitender Kumar ◽

Anand Malik ◽

Fakir Chand

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Existence, stability, and scattering of bright vortices in the cubic–quintic nonlinear Schrödinger equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2010.11.019 ◽

2012 ◽

Vol 82 (7) ◽

pp. 1150-1171 ◽

Author(s):

R.M. Caplan ◽

R. Carretero-González ◽

P.G. Kevrekidis ◽

B.A. Malomed

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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