Journal ArticleDOI
Optical solitons and optical rogons of generalized resonant dispersive nonlinear Schrödinger's equation with power law nonlinearity
TLDR
In this article, the authors obtained solitons and singular periodic solutions to the generalized resonant dispersive nonlinear Schrodinger's equation with power law nonlinearity, which are important in the nonlinear fiber optics community as well as in the study of rogue waves.About:
This article is published in Optik.The article was published on 2014-08-01. It has received 96 citations till now. The article focuses on the topics: Nonlinear Schrödinger equation & Nonlinear system.read more
Citations
More filters
Journal ArticleDOI
Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach
Mohammad Mirzazadeh,Mostafa Eslami,Essaid Zerrad,Mohammad F. Mahmood,Anjan Biswas,Anjan Biswas,Milivoj R. Belic +6 more
TL;DR: In this article, the sinecosine function method and Bernoulli's equation approach were used to obtain soliton solutions to optical couplers by two methods, i.e., sine-cosine method and sine equation approach.
Journal ArticleDOI
Soliton solutions to resonant nonlinear Schrödinger’s equation with time-dependent coefficients by trial solution approach
Mohammad Mirzazadeh,Ahmed H. Arnous,Mohammad F. Mahmood,Essaid Zerrad,Anjan Biswas,Anjan Biswas +5 more
TL;DR: In this paper, the resonant nonlinear Schrodinger's equation with four forms of nonlinearity and time-dependent coefficients is studied, and the trial solution method is employed to solve the governing equations.
Journal ArticleDOI
A new generalized exponential rational function method to find exact special solutions for the resonance nonlinear Schrödinger equation
TL;DR: In this paper, the authors proposed a method to obtain exact solutions of nonlinear partial differential equations by generalizing the exponential rational function method, which can be used to obtain the exact solution of the Schrodinger equation in a relatively easy way.
Journal ArticleDOI
Optical solitons in nano-fibers with spatio-temporal dispersion by trial solution method
Anjan Biswas,Anjan Biswas,Mohammad Mirzazadeh,Mostafa Eslami,Qin Zhou,Ali H. Bhrawy,Ali H. Bhrawy,Milivoj R. Belic +7 more
TL;DR: In this paper, the authors used the trial solution algorithm to secure optical soliton solutions to the nonlinear Schrodinger's equation, and obtained bright, dark and singular soliton solution to the model that is considered with four forms of nonlinearity.
Journal ArticleDOI
Exact solitons to generalized resonant dispersive nonlinear Schrödinger's equation with power law nonlinearity
TL;DR: In this article, the generalized resonant dispersive nonlinear Schrodinger's equation with power law nonlinearity was studied and the solitons of the generalized nonsmooth nonlinear soliton were derived based on the improved extended extended tanh-equation method.
References
More filters
Journal ArticleDOI
The (G' G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
TL;DR: The (G'/G)-expansion method is firstly proposed in this paper, where G = G(xi) satisfies a second order linear ordinary differential equation (LODE for short), by which the travelling wave solutions involving parameters of the KdV equation, the mKdV equations, the variant Boussinesq equations and the Hirota-Satsuma equations are obtained when the parameters are taken as special values.
Journal ArticleDOI
Solitary wave solutions of nonlinear wave equations
TL;DR: In this article, a method for obtaining traveling-wave solutions of nonlinear wave equations that are essentially of a localized nature is proposed based on the fact that most solutions are functions of a hyperbolic tangent.
Journal ArticleDOI
The tanh method: I. Exact solutions of nonlinear evolution and wave equations
Willy Malfliet,Willy Hereman +1 more
TL;DR: In this article, a systemized version of the tanh method is used to solve particular evolution and wave equations, where the boundary conditions are implemented in this expansion, and the associated velocity can then be determined a priori, provided the solution vanishes at infinity.
Journal ArticleDOI
A sine-cosine method for handlingnonlinear wave equations
TL;DR: A sine-cosine method is used for obtaining traveling wave solutions for nonlinear wave equations with minimal algebra and is applied to selected physical models to illustrate the usage of the main results.
Journal ArticleDOI
Simplest equation method to look for exact solutions of nonlinear differential equations
TL;DR: In this paper, a new method is presented to look for exact solutions of nonlinear differential equations by using the general solutions of the simplest nonlinear equations and taking into consideration all possible singularities of equation studied.