Author
F. Samadani
Other affiliations: Islamic Azad University
Bio: F. Samadani is an academic researcher from University of Gilan. The author has contributed to research in topics: Nonlinear system & Homotopy analysis method. The author has an hindex of 10, co-authored 14 publications receiving 427 citations. Previous affiliations of F. Samadani include Islamic Azad University.
Papers
More filters
TL;DR: Using the Painleve property, the traveling wave transformation, and the sine-Gordon expansion method (SGEM), a series of traveling wave solutions for the Tzitzeica type equations were obtained in this article.
122 citations
TL;DR: In this article, the system of equations for the ion sound and Langmuir waves (SEISLWs) was studied, and different integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM), were used to acquire new exact solutions of the governing system.
Abstract: The present study deals with the system of equations for the ion sound and Langmuir waves (SEISLWs). Distinct integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM) with the help of symbolic computation package, are utilized to acquire new exact solutions of the governing system. The approaches are practically effective and can be exerted to various types of nonlinear systems of partial differential equations (PDEs).
88 citations
TL;DR: In this paper, the unstable nonlinear Schrodinger's equation is studied, which points out the time evolution of disturbances in marginally stable or unstable media and a wide variety of new explicit exact solutions are successfully derived, proving the excellent performance of the schemes.
Abstract: Under investigation in the present work is to study the unstable nonlinear Schrodinger’s equation which points out the time evolution of disturbances in marginally stable or unstable media The exp
a
and hyperbolic function methods are adopted to carry out this target in a straightforward way A wide variety of new explicit exact solutions are successfully derived, proving the excellent performance of the schemes
80 citations
TL;DR: In this paper, a modified form of Kudryashov approach is formally adopted to extract the exact analytical solutions of the governing model and the constraint conditions for the existence of optical solitons in the case of Kerr law nonlinearity are also reported.
68 citations
TL;DR: In this article, a wide range of optical soliton solutions of the model have been extracted through the use of the improved t a n ϕ η / 2 -expansion method and the e x p function approach.
49 citations
Cited by
More filters
TL;DR: In this paper, the authors reveal the dark, bright, mixed dark-bright, singular and mixed singular optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrodinger equation by using the extended sinh-Gordon equation expansion method.
139 citations
TL;DR: In this article, the exact travelling wave solutions of the system of equations for the ion sound and Langmuir waves (SEISLWs) were derived in the form of trigonometric functions, hyperbolic functions, periodic solitary waves, bright and dark solitons, kink solutions of SEISLW.
Abstract: We investigated the new exact travelling wave solutions of the system of equations for the ion sound and Langmuir waves (SEISLWs). In this work, we use the extended form of two methods, auxiliary equation mapping and direct algebraic methods, to find the families of new exact travelling wave solutions of the SEISLWs. These new exact travelling solutions are derived in the form of trigonometric functions, hyperbolic functions, periodic solitary waves, bright and dark solitons, kink solutions of the SEISLWs. We used the Mathematica program to show these solutions in two and three dimensions graphically.
138 citations
TL;DR: In this article, a unified method to the conformable time fractional non linear Schr o ¾ dinger equation with perturbation terms is presented, where the predicted solutions in finite series forms of various functions satisfying some particular ODEs are substituted into the reduced form of the governing equation.
135 citations
TL;DR: In this paper, the generalized third-order nonlinear Schrodinger (GTONLS) equation is used to model ultra-short pulses in optical fibers and the analysis is carried out systematically by adopting a complex transformation for reducing the GTONLS equation to a couple of nonlinear ordinary differential equations with specific conditions such that the resulting NLODEs can be solved through the use of well-designed techniques such as the expa-function and unified methods.
118 citations