New Optical Soliton Solutions For The Variable Coefficients Nonlinear Schrodinger Equation

Schrodinger Equation ◽

Soliton Solutions ◽

Expansion Method ◽

Dark Soliton ◽

Variable Coefficients ◽

Optical Soliton ◽

Abstract This paper is appropriated to seek new optical soliton solutions of nonlinear Schrodinger equation (NLSE) with time-dependent coefficients which describes the dispersion decreasing fiber. By proposing Bernoulli (G ′/G)-expansion method, where G = G(ζ ) satisfies Bernoulli equation, some periodic wave, bright and dark soliton solutions are successfully achieved. In addition, 3D, line and contour maps graphs of the obtained results under effect of different values of coefficients are illustrated to have acceptable conception of dynamic structures.

Integrability and dark soliton solutions for a high-order variable coefficients nonlinear Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2019.01.029 ◽

2019 ◽

Vol 93 ◽

pp. 29-33 ◽

Cited By ~ 6

Author(s):

Qian-Min Huang

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Dark Soliton ◽

Variable Coefficients ◽

High Order ◽

Nonlinear Schrödinger ◽

Order Variable

Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law

Applied Sciences ◽

10.3390/app10010219 ◽

2019 ◽

Vol 10 (1) ◽

pp. 219 ◽

Cited By ~ 26

Author(s):

Wei Gao ◽

Hajar Farhan Ismael ◽

Ahmad M. Husien ◽

Hasan Bulut ◽

Haci Mehmet Baskonus

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Expansion Method ◽

Optical Soliton ◽

Physical Parameters ◽

Nonlinear Schrödinger ◽

Parabolic Law

In this paper, the cubic-quartic nonlinear Schrödinger and resonant nonlinear Schrödinger equation in parabolic law media are investigated to obtain the dark, singular, bright-singular combo and periodic soliton solutions. Two powerful methods, the m + G ′ G improved expansion method and the exp − φ ξ expansion method are utilized to construct some novel solutions of the governing equations. The obtained optical soliton solutions are presented graphically to clarify their physical parameters. Moreover, to verify the existence solutions, the constraint conditions are utilized.

Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method

AIP Advances ◽

10.1063/5.0038671 ◽

2021 ◽

Vol 11 (2) ◽

pp. 025130

Author(s):

Mostafa M. A. Khater ◽

Sadia Anwar ◽

Kalim U. Tariq ◽

Mohamed S. Mohamed

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Optical Soliton ◽

Optical soliton solutions to a higher-order nonlinear Schrödinger equation with Kerr law nonlinearity

Results in Physics ◽

10.1016/j.rinp.2021.104515 ◽

2021 ◽

pp. 104515

Author(s):

B. Günay

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Kerr Law ◽

Kerr Law Nonlinearity

Novel optical soliton solutions for time-fractional resonant nonlinear Schrödinger equation in optical fiber

Optical and Quantum Electronics ◽

10.1007/s11082-021-03479-6 ◽

2022 ◽

Vol 54 (2) ◽

Author(s):

N. Das ◽

S. Saha Ray

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Optical Soliton ◽

Oblique nonlinear Alfvén waves in strongly magnetized beam plasmas. Part 2. Soliton solutions and integrability

Journal of Plasma Physics ◽

10.1017/s002237780001727x ◽

1993 ◽

Vol 50 (3) ◽

pp. 457-476 ◽

Cited By ~ 11

Author(s):

Bernard Deconinck ◽

Peter Meuris ◽

Frank Verheest

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Dark Soliton ◽

Derivative Nonlinear Schrödinger Equation

Mhd Waves ◽

Displacement Current ◽

Nonlinear Schrödinger ◽

Oblique propagation of MHD waves in warm multi-species plasmas with anisotropic pressures and different equilibrium drifts is described by a modified vector derivative nonlinear Schrödinger equation, if charge separation in Poisson's equation and the displacement current in Ampère's law are properly taken into account. This modified equation cannot be reduced to the standard derivative nonlinear Schrödinger equation, and hence requires a new approach to solitary-wave solutions, integrability and related problems. The new equation is shown to be integrable by the use of the prolongation method, and by finding a sufficient number of conservation laws, and possesses bright and dark soliton solutions, besides possible periodic solutions.

Modulation stability and dispersive optical soliton solutions of higher order nonlinear Schrödinger equation and its applications in mono-mode optical fibers

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.11.022 ◽

2018 ◽

Vol 113 ◽

pp. 419-429 ◽

Cited By ~ 19

Author(s):

Muhammad Arshad ◽

Aly R. Seadawy ◽

Dianchen Lu

Keyword(s):

Schrödinger Equation ◽

Optical Fibers ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Optical Soliton ◽

Dark soliton solution for higher-order nonlinear Schrödinger equation with variable coefficients

Optics Communications ◽

10.1016/j.optcom.2004.08.012 ◽

2004 ◽

Vol 242 (1-3) ◽

pp. 285-293 ◽

Cited By ~ 60

Author(s):

Rongcao Yang ◽

Ruiyu Hao ◽

Lu Li ◽

Zhonghao Li ◽

Guosheng Zhou

Keyword(s):

Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Dark Soliton ◽

Variable Coefficients ◽

Higher Order ◽

AN ALTERNATIVE SET OF BRIGHT AND DARK SOLITON SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863501000760 ◽

2001 ◽

Vol 10 (04) ◽

pp. 403-407 ◽

Cited By ~ 1

Author(s):

S. L. PALACIOS

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Dark Soliton ◽

Normal Dispersion ◽

Nonlinear Schrödinger ◽

Dispersion Regime ◽

Alternative Set

An alternative set of soliton solutions for the nonlinear Schrödinger equation is found. When particular cases are analyzed it is shown that bright picosecond solitons are possible in the normal and anomalous dispersion regions of an optical fibre but dark picosecond solitons can only exist in the normal dispersion regime. Also, pulse peak power and width are determined.