Generalized nonlinear Schrödinger equation: Conservation of energy and solitary-wave solutions

Journal of Mathematical Physics ◽

10.1063/5.0006799 ◽

2020 ◽

Vol 61 (5) ◽

pp. 052101 ◽

Author(s):

M. A. Rego-Monteiro

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Conservation Of Energy ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Generalized Nonlinear Schrödinger Equation

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Self-similar cnoidal and solitary wave solutions of the (1+1)-dimensional generalized nonlinear Schrödinger equation

The European Physical Journal D ◽

10.1140/epjd/e2010-00102-0 ◽

2010 ◽

Vol 58 (3) ◽

pp. 327-332 ◽

Author(s):

L. H. Zhao ◽

C. Q. Dai

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Self Similar ◽

Generalized Nonlinear Schrödinger Equation

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Bistable dark solitary wave solutions of the generalized nonlinear Schrodinger equation and their stability

IEEE Journal of Quantum Electronics ◽

10.1109/3.35734 ◽

1989 ◽

Vol 25 (10) ◽

pp. 2205-2213 ◽

Author(s):

L.J. Mulder ◽

R.H. Enns

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Generalized Nonlinear Schrödinger Equation

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Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case

Nonlinear Analysis ◽

10.1016/j.na.2019.111665 ◽

2020 ◽

Vol 192 ◽

pp. 111665

Author(s):

Cui Ning

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Degenerate Case ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Type

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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 ◽

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 ◽

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Solitary wave solutions of the Camassa–Holm-Nonlinear Schrödinger Equation

Results in Physics ◽

10.1016/j.rinp.2020.103549 ◽

2020 ◽

Vol 19 ◽

pp. 103549

Author(s):

Thilagarajah Mathanaranjan

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

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Optical Solitary Wave Solutions for the Conformable Perturbed Nonlinear Schrödinger Equation with Power Law Nonlinearity

Journal of Advanced Physics ◽

10.1166/jap.2018.1390 ◽

2018 ◽

Vol 7 (1) ◽

pp. 49-57 ◽

Author(s):

Mustafa Inc ◽

Abdullahi Yusuf ◽

Aliyu Isa Aliyu ◽

Selahattin Gülsen ◽

Dumitru Baleanu

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

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Stability of the Bright-Type Algebraic Solitary-Wave Solutions of Two Extended Versions of the Nonlinear Schrödinger Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.65.2440 ◽

1996 ◽

Vol 65 (8) ◽

pp. 2440-2446 ◽

Author(s):

Jorge Fujioka ◽

Aurea Espinosa

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

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Analytical solitary-wave solutions of the generalized nonautonomous cubic-quintic nonlinear Schrödinger equation with different external potentials

Physical Review E ◽

10.1103/physreve.83.066607 ◽

2011 ◽

Vol 83 (6) ◽

Author(s):

Jun-Rong He ◽

Hua-Mei Li

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Quintic Nonlinear Schrödinger Equation

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Exact Solitary Wave Solutions of the Nonlinear Schrodinger Equation with Distributed Gain

Nonlinear Guided Waves and Their Applications ◽

10.1364/nlgw.2002.nlmd53 ◽

2002 ◽

Author(s):

V.I. Kruglov ◽

J.D. Harvey

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

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Solitary wave solutions for a higher order nonlinear Schrödinger equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2011.11.003 ◽

2012 ◽

Vol 82 (7) ◽

pp. 1333-1340 ◽

Author(s):

Houria Triki ◽

Thiab R. Taha

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

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