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L$^2$-Solutions for Nonlinear Schrodinger Equations and Nonlinear Groups
L$^2$-Solutions for Nonlinear Schrodinger Equations and Nonlinear Groupsopenaire
NONLINEAR SCHRODINGER EQUATIONS IN FRACTIONAL ORDER SOBOLEV SPACES(Nonlinear Evolution Equations and Applications)openaire
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Mathematical methods in the applied sciences, 2021
The paper aims to employ a new effective methodology to build exact fractional solutions to the generalized nonlinear Schrödinger equation with a local fractional operator defined on Cantor sets. The equation contains group velocity dispersion and second‐
B. Ghanbari
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The paper aims to employ a new effective methodology to build exact fractional solutions to the generalized nonlinear Schrödinger equation with a local fractional operator defined on Cantor sets. The equation contains group velocity dispersion and second‐
B. Ghanbari
semanticscholar +1 more source
Chinese Physics Letters, 2021
The fractional second- and third-order nonlinear Schrödinger equation is studied, symmetric and antisymmetric soliton solutions are derived, and the influence of the Lévy index on different solitons is analyzed.
Qi-Hao 祺豪 Cao 曹 +1 more
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The fractional second- and third-order nonlinear Schrödinger equation is studied, symmetric and antisymmetric soliton solutions are derived, and the influence of the Lévy index on different solitons is analyzed.
Qi-Hao 祺豪 Cao 曹 +1 more
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Communications in Theoretical Physics, 2020
This paper studies the new families of exact traveling wave solutions with the modified nonlinear Schrödinger equation, which models the propagation of rogue waves in ocean engineering. The extended Fan sub-equation method with five parameters is used to
M. Younis +4 more
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This paper studies the new families of exact traveling wave solutions with the modified nonlinear Schrödinger equation, which models the propagation of rogue waves in ocean engineering. The extended Fan sub-equation method with five parameters is used to
M. Younis +4 more
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Modern physics letters B, 2019
In this paper, we discussed analytically higher order dispersive extended nonlinear Schrödinger equation with the aid of newly developed technique named as extended modified auxiliary equation mapping method.
A. Seadawy, N. Cheemaa
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In this paper, we discussed analytically higher order dispersive extended nonlinear Schrödinger equation with the aid of newly developed technique named as extended modified auxiliary equation mapping method.
A. Seadawy, N. Cheemaa
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Soliton solutions for the nonlinear Schrodinger equation with Kerr nonlinearity
Frontiers in Optics + Laser Science 2021, 2021The nonlinear Schrödinger equation with Kerr nonlinearity is studied by using the hyperbolic function series expansion method. The method appears to be simple and efficient and can be used for other nonlinear equations.
Angela Jia +3 more
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Modern physics letters B, 2019
This paper considers the generalized nonlinear Schrödinger (GNLS) equation with group velocity dispersion and second-order spatio-temporal dispersion coefficients.
B. Ghanbari, J. F. Gómez‐Aguilar
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This paper considers the generalized nonlinear Schrödinger (GNLS) equation with group velocity dispersion and second-order spatio-temporal dispersion coefficients.
B. Ghanbari, J. F. Gómez‐Aguilar
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Nonlinear evolution equations without magic: II. The cubic nonlinear Schrodinger equation
European Journal of Physics, 1989For pt.I see ibid., vol.10, p.82-6 (1989). Using the same physical system as an example as in part I the author shows under what circumstances the cubic nonlinear Schrodinger equation may occur. In particular he tries to clarify the choices of the relevant variables and of the orderings of the relevant parameters.
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A fast method for nonlinear Schrodinger equation
IEEE Photonics Technology Letters, 2003The predictor-corrector split-step Fourier method (SSFM) is proposed for solving a nonlinear Schrodinger equation. In comparison with the symmetrized SSFM, the proposed method greatly decreases the relative error and increases the computing speed by /spl sim/2.8 to /spl sim/5.5 times at the same accuracy.
null Xueming Liu, null Byoungho Lee
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