Yazar "Özdemir, Neslihan" için listeleme
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An algorithm for numerical solution of some nonlinear multi-dimensional parabolic partial differential equations
Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2021)In this research paper, a numerical method, named the three-step Ultraspherical wavelet collocation method, is presented for solving some nonlinear multi-dimensional parabolic partial differential equations. The method is ... -
Bright soliton of the perturbed Schrödinger–Hirota equation with cubic–quintic–septic law of self-phase modulation in the presence of spatiotemporal dispersion
Özdemir, Neslihan; Altun, Selvi; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (SPRINGER HEIDELBERGTIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2024)For the first time, we intend to scrutinize both the bright optical soliton solutions of the perturbed Schrödinger–Hirota equation with cubic–quintic–septic law having the spatiotemporal dispersion and the influences of ... -
Extraction of soliton waves from the longitudinal wave equation with local M‑truncated derivatives
Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (SPRINGERVAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2023)We have extracted some soliton solutions of the fractional longitudinal wave equation with the M-truncated derivative (M-LWE), which emerges in a magneto electro-elastic circular rod. To obtain new results of this model, ... -
The Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers' Equations with Time-Fractional Derivative
Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2019)In this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers' equations with a time-fractional derivative. In the presented methods, we combined the operational ... -
A Hermite Polynomial Approach for Solving the SIR Model of Epidemics
Seçer, Aydın; Özdemir, Neslihan; Bayram, Mustafa (MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2018)In this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ... -
M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation
Özdemir, Neslihan (Prof. Dr. Ramazan Yaman, 2023)This article aims to examine M-truncated soliton solutions of the fractional (4 + 1)-dimensional Fokas equation (FE), which is a generalization of the Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations. The ... -
On the investigation of optical soliton solutions of cubic-quartic Fokas-Lenells and Schrodinger-Hirota equations
Özışık, Müslüm; Önder, İsmail; Esen, Handenur; Çınar, Melih; Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2023)Purpose: When it comes to third and higher-order dispersion, the Schrödinger–Hirota equation is one of the main models developed outside the classical NLSE management models for optical soliton transmission. The cubic–quartic ... -
Optical solitons for Radhakrishnan–Kundu–Lakshmanan equation in the presence of perturbation term and having Kerr law
Özdemir, Neslihan (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2022)Purpose: In this research study, obtaining the analytical and soliton solutions to the perturbed Radhakrishnan–Kundu–Lakshmanan (RKL) equation with Kerr law nonlinearity is aimed via the generalized projective Riccati ... -
Perturbation of dispersive optical solitons with Schrödinger–Hirota equation with Kerr law and spatio-temporal dispersion
Özdemir, Neslihan; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2022)Objective: The principal purpose of this paper is to examine the perturbed Schrödinger–Hirota equation with the effect of spatio-temporal dispersion and Kerr law nonlinearity which governs the propagation of dispersive ... -
Revealing optical soliton solutions of Schrödinger equation having parabolic law and anti-cubic law with weakly nonlocal nonlinearity
Özdemir, Neslihan; Altun, Selvi; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (TAYLOR & FRANCIS LTD2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND, 2024)In this study, we purpose to ensure optical soliton solutions of the nonlinear Schrödinger equation having parabolic and anti-cubic (AC) laws with a weakly non-local nonlinearity by using the new Kudryashov method. As ... -
Traveling wave structures of some fourth-order nonlinear partial differential equations
Esen, Handenur; Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2023)This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method. In this method, utilizing a traveling wave ... -
Two Analytical Schemes for the Optical Soliton Solution of the (2 + 1) Hirota–Maccari System Observed in Single-Mode Fibers
Özdemir, Neslihan; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2022)In this scientific research article, the new Kudryashov method and the tanh-coth method, which have not been applied before, are employed to construct analytical and soliton solutions of the (2 + 1)-dimensional Hirota–Maccari ... -
Wavelet-based Numerical Approaches for Solving the Korteweg-de Vries (KdV) Equation
Özdemir, Neslihan; Seçer, Aydın (Matematikçiler Derneği, 2022)In this research work, we examine the Korteweg-de Vries equation (KdV), which is utilized to formulate the propagation of water waves and occurs in different fields such as hydrodynamics waves in cold plasma acoustic ...
