Author
Kamyar Hosseini
Bio: Kamyar Hosseini is an academic researcher from Islamic Azad University. The author has contributed to research in topics: Nonlinear system & Soliton. The author has an hindex of 31, co-authored 106 publications receiving 2580 citations.
Papers
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TL;DR: In this paper, the modified Kudryashov method was used to derive exact solutions for nonlinear Boussinesq equations with conformable time-fractional derivative.
Abstract: In this paper, the nonlinear Boussinesq equations with the conformable time-fractional derivative are solved analytically using the well-established modified Kudryashov method. As a consequence, a number of new exact solutions for this type of equations are formally derived. It is believed that the method is one of the most effective techniques for extracting new exact solutions of nonlinear fractional differential equations.
148 citations
TL;DR: In this paper, the modified Kudryashov method was used to solve the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities.
128 citations
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 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
TL;DR: In this paper, the Sine-Gordon expansion method is implemented to construct exact solutions some conformable time fractional equations in Regularized Long Wave (RLW) class, where compatible wave transform reduces the governing equation to classical ordinary differential equation.
114 citations
Cited by
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01 Jan 2015
3,828 citations
TL;DR: Free vibration analysis of functionally graded (FG) size-dependent nanobeam using finite element method to show the significance of the material distribution profile, nonlocal effect, and boundary conditions on the dynamic characteristics of nanobeams.
322 citations
TL;DR: In this paper, a review aimed at directing the light to research work concerned with bending, buckling, vibrations, and wave propagation of nanobeams modeled according to the nonlocal elasticity theory of Eringen.
272 citations
TL;DR: In this article, a new solitons solution of the complex Ginzburg-Landau equation with Kerr law nonlinearity was found using the new extended direct algebraic method.
212 citations