Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method
نویسندگان
چکیده
This paper studies the propagation of short pulse optics model governed by higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity. Exact one-soliton solutions are derived for a generalized case NLSE aid software symbolic computations. The modified Kudryashov simple method (MSEM) is employed this purpose under some parametric constraints. computational work shows difference, effectiveness, reliability, and power considered scheme. can treat several complex NLSEs that arise in mathematical physics. Graphical illustrations obtained solitons presented.
منابع مشابه
Higher Order Asymptotics of the Modified Non-Linear Schrödinger Equation
Using the matrix Riemann-Hilbert factorisation approach for non-linear evolution systems which take the form of Lax-pair isospectral deformations, the higher order asymptotics as t→±∞ (x/t∼O(1)) of the solution to the Cauchy problem for the modified non-linear Schrödinger equation, i∂tu+ 1 2 ∂ x u+ |u|u+is∂x(|u|u) = 0, s ∈ R>0, which is a model for non-linear pulse propagation in optical fibres...
متن کاملSolitary Wave Solutions for the Nlse with Higher- Order Effects
A higher order nonlinear Schrödinger equation (NLSE) with thirdand fourth-order dispersions, cubic-quintic nonlinearities, self steepening, and self-frequency shift effects is considered. This model describes the propagation of femtosecond light pulses in optical fibers. It is to be noted that soliton pulses are used as the information carriers (elementary "bits") to transmit digital signals ov...
متن کاملAsymptotic solitons for a higher-order modified Korteweg-de Vries equation.
Solitary wave interaction for a higher-order modified Korteweg-de Vries (mKdV) equation is examined. The higher-order mKdV equation can be asymptotically transformed to the mKdV equation, if the higher-order coefficients satisfy a certain algebraic relationship. The transformation is used to derive the higher-order two-soliton solution and it is shown that the interaction is asymptotically elas...
متن کاملMultipole solitary wave solutions of the higher-order nonlinear Schrödinger equation with quintic non-Kerr terms
We consider a high-order nonlinear Schrödinger (HNLS) equation with thirdand fourth-order dispersions, quintic non-Kerr terms, self steepening, and self-frequency-shift effects. The model applies to the description of ultrashort optical pulse propagation in highly nonlinear media. We propose a complex envelope function ansatz composed of single bright, single dark and the product of bright and ...
متن کاملThe spectral iterative method for Solving Fractional-Order Logistic Equation
In this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. The method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9161986