Optical solitons with quadratic-cubic nonlinearity by semi-inverse variational principle

Optical solitons with complex Ginzburg-Landau equation by modified simple equation method

The Boussinesq equation simulates weakly nonlinear and long wave approximation that can be used in water waves, coastal engineering, and numerical models for water wave simulation in harbors and shallow seas. In this article, the sine-Gordon expansion (SGE) approach and the generalized Kudryashov (GK) scheme are used to establish broad-spectral solutions including unknown parameters and typical analytical solutions are recovered as a special case. The well-known bell-shape soliton, kink, singular kink, compacton, contracted bell-shape soliton, periodic soliton, anti-bell shape soliton, and other shape solitons are retrieved for the definite value of these constraints. The 3D and contour plots of some of the results obtained are sketched by assigning individual values of the parameter and analyzed the dynamical behavior of the waves. Furthermore, the compatibility of the two approaches has been compared and examined the efficiency to ascertain soliton solutions.

Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method

Mitigating Internet bottleneck with fractional temporal evolution of optical solitons having quadratic–cubic nonlinearity

In this work, we suggest a Sardar-subequation method which powerful and efficient, for solving distinct forms of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony ((3+1)-Dimensional WBBM) equations. As a result, some new and more general solitary wave solutions (sws) are obtained including generalized hyperbolic and trigonometric functions. Our results demonstrate the power of the proposed method for the determination of sws of nonlinear evolution equations (NLEs), such as (3+1)-Dimensional WBBM equations which we will study in this work.

New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations

On optical solitons of the Schrödinger-Hirota equation with power law nonlinearity in optical fibers

In this article, we investigate exact soliton solutions of nonlinear Schrodinger equation (NLSE) with quadratic-cubic nonlinearity. The Jacobi elliptic functions are employed to study optical solitons. Dark and bright solitons are obtained. Also, the stability analysis of dark and bright solitons for the NLSE with quadratic-cubic nonlinearity is considered.

Soliton solutions of NLSE with quadratic-cubic nonlinearity and stability analysis

The aim of this paper is to obtain optical soliton solutions by nonlinear dispersion in parabolic law medium by using Jacobi elliptic functions. The presented problem is studied with Kerr law nonlinearity, and dark and bright solitons are acquired. Also, we develop the stability analysis for problem.

Ebru Cavlak Aslan

Papers

On optical solitons of the Schrödinger-Hirota equation with power law nonlinearity in optical fibers

Soliton solutions of NLSE with quadratic-cubic nonlinearity and stability analysis

Optical solitons in parabolic law medium: Jacobi elliptic function solution

Optical soliton solutions of the NLSE with quadratic-cubic-Hamiltonian perturbations and modulation instability analysis

Nanoscale Waveguides in Optical Metamaterials: Jacobi Elliptic Funtion Solutions