Search Results - "Hincal, E."
-
1
Effect of ion and negative ion temperatures on KdV and mKdV solitons in a multicomponent plasma
Published in Nonlinear dynamics (01-05-2023)“…The formation of ion-acoustic solitons (IASs) in an unmagnetized plasma with negative ions has been investigated through the KdV equation in both the…”
Get full text
Journal Article -
2
Non-singular multi-complexiton wave to a generalized KdV equation
Published in Nonlinear dynamics (01-04-2023)“…The major goal of the current paper is to conduct a detailed study on a generalized KdV equation (gKdVE) and its non-singular multi-complexiton wave. More…”
Get full text
Journal Article -
3
Solitary waves of coupled nonlinear Schrödinger equations: a generalized method
Published in Optical and quantum electronics (01-07-2023)“…In the present paper, the coupled nonlinear Schrödinger (CNLS) equations satisfying the Painlevé property are considered, and as a result, their solitary waves…”
Get full text
Journal Article -
4
Periodic and solitary waves of the nonlinear Konno–Oono model: generalized methods
Published in Optical and quantum electronics (01-06-2023)“…There has been considerable academic interest in the study of nonlinear dynamical models and their exact traveling waves over the past few years. The main aim…”
Get full text
Journal Article -
5
Absolutely stable difference scheme for the delay partial differential equation with involution and Robin boundary condition
Published in Қарағанды университетінің хабаршысы. Математика сериясы (30-09-2024)“…This paper examines the initial value problem for a third-order delay partial differential equation with involution and Robin boundary condition. We construct…”
Get full text
Journal Article -
6
Ion acoustic soliton with thermal ions and non-thermal electrons in a high-relativistic electron-positron-ion plasma
Published in Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters (01-12-2023)“…In this investigation, both compressive and rarefactive solitons are shown to exist in electron-positron-ion plasma consisting of thermal positrons,…”
Get full text
Journal Article -
7
On stability of the third order partial delay differential equation with involution and Dirichlet condition
Published in Қарағанды университетінің хабаршысы. Математика сериясы (30-06-2021)“…In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first…”
Get full text
Journal Article -
8
Painlevé Analysis and Kink-Type Solitary Waves of the Geophysical KdV Equation Involving a Source
Published in International journal of applied and computational mathematics (01-04-2024)“…The geophysical KdV equation is used to explore the propagation of oceanic waves. In the present paper, the geophysical KdV equation involving a source (The…”
Get full text
Journal Article -
9
The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation
Published in Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters (01-03-2024)“…Recently, Lin et al. (Appl. Math. Lett. 78 (2018) 112–117) established the resonant multiple-wave solution of a generalized Kadomtsev–Petviashvili (gKP)…”
Get full text
Journal Article -
10
Transmission dynamics and control strategies of COVID-19: a modelling study
Published in Қарағанды университетінің хабаршысы. Математика сериясы (30-06-2021)“…In this paper a mathematical model is proposed, which incorporates quarantine and hospitalization to assess the community impact of social distancing and face…”
Get full text
Journal Article -
11
Modelling the effect of horizontal and vertical transmissions of HIV infection with efficient control strategies
Published in Қарағанды университетінің хабаршысы. Математика сериясы (30-06-2021)“…In this paper a mathematical model is developed to study the transmission dynamics of HIV infection and the effect of horizontal and vertical transmission in…”
Get full text
Journal Article -
12
Bilinear Bäcklund transformation, Lax pair, Painlevé integrability, and different wave structures of a 3D generalized KdV equation
Published in Nonlinear dynamics (01-10-2024)“…The current paper conducts comprehensive research on a 3D generalized Korteweg-de Vries (3D-gKdV) equation describing long-wave behavior in shallow water…”
Get full text
Journal Article -
13
A generalized nonlinear Schrödinger equation with logarithmic nonlinearity and its Gaussian solitary wave
Published in Optical and quantum electronics (17-04-2024)“…In the current paper, a generalized nonlinear Schrödinger (gNLS) equation with logarithmic nonlinearity is studied as a model for the propagation of optical…”
Get full text
Journal Article -
14
Dynamics of HIV-1 infected population acquired via different sexual contacts route: a case study of Turkey
Published in Қарағанды университетінің хабаршысы. Математика сериясы (30-09-2018)“…This paper aims to study the transmission dynamics of HIV/AIDS in heterosexual, men having sex with men (MSM)/bisexuals and others in Turkey. Four equilibrium…”
Get full text
Journal Article -
15
Some models of solitary wave propagation in optical fibers involving Kerr and parabolic laws
Published in Optical and quantum electronics (01-03-2024)“…This study delves into the realm of solitary wave dynamics with pivotal applications in nonlinear optics. More precisely, the current paper investigates the…”
Get full text
Journal Article -
16
Lie vector fields, conservation laws, bifurcation analysis, and Jacobi elliptic solutions to the Zakharov–Kuznetsov modified equal-width equation
Published in Optical and quantum electronics (30-01-2024)“…The present paper intends to thoroughly study an evolutionary model called the Zakharov–Kuznetsov modified equal-width (ZK–MEW) equation. More precisely, Lie…”
Get full text
Journal Article -
17
Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to the nonlinear Kodama equation
Published in Results in physics (01-11-2023)“…The present article formally studies the propagation of optical pulses in a nonlinear medium governed by the nonlinear Kodama equation. For this purpose, the…”
Get full text
Journal Article -
18
On the dynamics of soliton waves in a generalized nonlinear Schrödinger equation
Published in Optik (Stuttgart) (01-02-2023)“…The main objective of the present paper is to investigate the dynamics of soliton waves in a generalized nonlinear Schrödinger (GNLS) equation. To achieve such…”
Get full text
Journal Article -
19
Further results on asymptotic and finite-time stability analysis of fractional-order time-delayed genetic regulatory networks
Published in Neurocomputing (Amsterdam) (28-02-2022)“…This research work aims at investigating the fractional-order genetic regulatory networks (FOGRNs) with feedback regulation delays. First, we have established…”
Get full text
Journal Article -
20
A fourth-order nonlinear Schrödinger equation involving power law and weak nonlocality: Its solitary waves and modulational instability analysis
Published in Optik (Stuttgart) (01-08-2023)“…The present paper examines the dynamical features of solitary waves in a weakly nonlinear medium. More precisely, the propagation of solitary waves in a system…”
Get full text
Journal Article