Browsing by Author "Hincal, E."

Now showing 1 - 3 of 3

Citation - WoS: 28
Citation - Scopus: 31
Effect of Ion and Negative Ion Temperatures on Kdv and Mkdv Solitons in a Multicomponent Plasma
(Springer, 2023) Madhukalya, B.; Das, R.; Hosseini, K.; Baleanu, D.; Hincal, E.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The formation of ion-acoustic solitons (IASs) in an unmagnetized plasma with negative ions has been investigated through the KdV equation in both the situations Q'( = m(j)=m(i)= negative to positive ion mass ratio) less and greater than one and the mKdV equation only for Q' > 1. The existence of both KdV and mKdV solitons has been established for alpha (= ion to electron temperature ratio) > beta (= negative ion to electron temperature ratio) and alpha < beta, which is the new outcome of the current investi-gation. Furthermore, the existence of both compres-sive and rarefactive solitons for Q' > 1 and Q'< 1 has been demonstrated. A dispersion capable action. and
Citation - WoS: 39
Citation - Scopus: 42
Non-Singular Multi-Complexiton Wave To a Generalized Kdv Equation
(Springer, 2023) Hosseini, K.; Hincal, E.; Baleanu, D.; Obi, O. A.; Salahshour, S.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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 precisely, first the multi-shock wave of the governing model is retrieved using the principle of linear superposition. Based on the multi-shock wave and the techniques adopted by Zhou and Manukure, the non-singular multi-complexiton wave to the gKdVE is then constructed with the help of symbolic computations. The dynamical properties of single and double shock waves as well as non-singular single and double complexiton waves are analyzed by representing a group of 3D-plots. The achievements of the present paper take an important step in completing the research on the generalized KdV equation.
Citation - WoS: 21
Citation - Scopus: 26
Periodic and Solitary Waves of the Nonlinear Konno-Oono Model: Generalized Methods
(Springer, 2023) Hosseini, K.; Sadri, K.; Hincal, E.; Abbasi, A.; Baleanu, D.; Salahshour, S.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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 of the present paper is to consider a nonlinear dynamical model known as the nonlinear Konno-Oono model and derive its exact traveling waves. Specifically, after applying a universal transformation, periodic and solitary waves of the governing model with applications in the electromagnetic field are derived using generalized methods. Through the consideration of two- and three-dimensional simulations, several case studies are considered to represent the dynamical behavior of soliton solutions.