Search Results - "Yaşar, Emrullah"
-
1
New optical solitons of space-time conformable fractional perturbed Gerdjikov-Ivanov equation by sine-Gordon equation method
Published in Results in physics (01-06-2018)“…This paper devotes to conformable fractional space-time perturbed Gerdjikov-Ivanov (GI) equation which appears in nonlinear fiber optics and photonic crystal…”
Get full text
Journal Article -
2
A third-order nonlinear Schrödinger equation: the exact solutions, group-invariant solutions and conservation laws
Published in Journal of Taibah University for Science (01-01-2020)“…In this study, we consider the third order nonlinear Schrödinger equation (TONSE) that models the wave pulse transmission in a time period less than…”
Get full text
Journal Article -
3
Multi-wave, breather and interaction solutions to (3+1) dimensional Vakhnenko-Parkes equation arising at propagation of high-frequency waves in a relaxing medium
Published in Journal of Taibah University for Science (01-01-2021)“…In this study, based on the Hirota bilinear form, the exact analytic solutions of the (3 + 1) dimensional Vakhnenko-Parkes equation with various physical…”
Get full text
Journal Article -
4
Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada–Kotera–Ito equation
Published in Results in physics (2016)“…In this paper Lie symmetry analysis of the seventh-order time fractional Sawada–Kotera–Ito (FSKI) equation with Riemann–Liouville derivative is performed…”
Get full text
Journal Article -
5
Analytical solutions and physical interpretation of a predator–prey system with Allee effect using fractional derivative operators
Published in Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters (01-09-2024)“…This study investigates the dynamics of a predator–prey system by incorporating the Allee effect. The exact analytical solutions of the system are explored…”
Get full text
Journal Article -
6
Multiwave and interaction solutions and Lie symmetry analysis to a new (2 + 1)-dimensional Sakovich equation
Published in Alexandria engineering journal (01-12-2020)“…In this study, we construct multi wave solutions for the (2 + 1)-dimensional Sakovich equation by utilizing the logarithmic transformation of the dependent…”
Get full text
Journal Article -
7
mu$-Symmetries and $\mu$-Conservation Laws for The Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation
Published in Journal of mathematical sciences and modelling (21-12-2023)“…This work discusses the $% %TCIMACRO{\U{3bc} }% %BeginExpansion \mu %EndExpansion $-symmetry and conservation law of $% %TCIMACRO{\U{3bc} }% %BeginExpansion…”
Get full text
Journal Article -
8
A new (3+1) dimensional Hirota bilinear equation: Painlavé integrability, Lie symmetry analysis, and conservation laws
Published in Journal of Taibah University for Science (31-12-2022)“…This study's subject is a (3 + 1) dimensional new Hirota bilinear (NHB) equation that appears in the theory of shallow water waves. We investigate how…”
Get full text
Journal Article -
9
On Exact Solutions of Magneto-Electro-Elastic Rods Equation
Published in International journal of applied and computational mathematics (01-10-2023)“…Magneto-electro-elastic materials represent a new class of materials with various potential applications in nanotechnology and it is of great importance due to…”
Get full text
Journal Article -
10
Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation
Published in Communications Series A1 Mathematics & Statistics (01-01-2021)“…In this paper, we study lump-type solutions to a new extended (3+1)-dimensional nonlinear evolution equation which appears in the field of wave propagation in…”
Get full text
Journal Article -
11
Optical soliton solution analysis for the (2+1) dimensional Kundu–Mukherjee–Naskar model with local fractional derivatives
Published in Optical and quantum electronics (2022)“…In this paper, we investigate the local fractional Kundu–Mukherjee–Naskar (LFKMN) equation in (2+1) dimensional case. The Yang’s local fractional calculus tool…”
Get full text
Journal Article -
12
Nonlinear Schrödinger equations with spatio-temporal dispersion in Kerr, parabolic, power and dual power law media: A novel extended Kudryashov’s algorithm and soliton solutions
Published in Results in physics (2017)“…In this study, we perform the extended Kudryashov method to nonlinear Schrödinger equation (NLSE) with spatio-temporal dispersion that arises in a propagation…”
Get full text
Journal Article -
13
Optical soliton perturbation in parabolic law medium having weak non-local nonlinearity by a couple of strategic integration architectures
Published in Results in physics (01-06-2019)“…In this paper, the governing model with the inclusion of parabolic law nonlinearity, weakly non-local nonlinearity in addition to perturbation terms is…”
Get full text
Journal Article -
14
A Short Note on Nonlocal Transformations and First Integrals for Certain Nonlinear Oscillator Equations
Published in Abstract and Applied Analysis (01-01-2013)“…This short note presents a simple and effective application of the generalized Sundman transformations and the Jacobi last multiplier approach for two…”
Get full text
Journal Article -
15
Wronskian solutions of (2+1) dimensional non-local Ito equation
Published in Communications Series A1 Mathematics & Statistics (01-02-2018)“…In this work, the Wronskian determinant technique is performed to (2 + 1)-dimensional non-local Ito equation in the bilinear form. First, we obtain some…”
Get full text
Journal Article -
16
Conservation laws for perturbed solitons in optical metamaterials
Published in Results in physics (01-03-2018)“…The conservation laws for the dynamics of soliton propagation through optical metamaterials are derived by the aid of Lie symmetry analysis. The proposed model…”
Get full text
Journal Article -
17
On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation
Published in Advances in mathematical physics (01-01-2014)“…We study the modified Hunter-Saxton equation which arises in modelling of nematic liquid crystals. We obtain local conservation laws using the nonlocal…”
Get full text
Journal Article -
18
On the exact and numerical solutions to a new (2 + 1)-dimensional Korteweg-de Vries equation with conformable derivative
Published in Nonlinear engineering (01-01-2021)“…The aim of this paper is to introduce a novel study of obtaining exact solutions to the (2+1) - dimensional conformable KdV equation modeling the amplitude of…”
Get full text
Journal Article -
19
A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws
Published in Chaos, solitons and fractals (01-02-2018)“…•Lie symmetries and reductions of (2+1) dimenisonal breaking soliton model were carried out.•Solitary wave and optical soliton solutions were…”
Get full text
Journal Article -
20
On the Lie symmetry analysis, analytic series solutions, and conservation laws of the time fractional Belousov–Zhabotinskii system
Published in Nonlinear dynamics (01-09-2022)“…In this study, a reaction mechanism proposed by Belousov and Zhabotinskii, which corresponds to many physical phenomena, from the complex wave behavior of the…”
Get full text
Journal Article