Search Results - "YEL, Gülnur"
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An application of the rational sine–Gordon method to the Hirota equation
Published in Optical and quantum electronics (01-07-2023)“…In this study, the analytical solution of the Hirota equation by using the rational sine–Gordon expansion method (RSGEM) has been investigated. For this…”
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2
Solitary waves of M-fractional low-pass nonlinear electrical transmission line model arising in network system
Published in Physica scripta (01-08-2024)“…Abstract In this study, we analyze the solitary wave behavior of a truncated M-fractional low-pass nonlinear electrical transmission line (NLETLs) model. NLETL…”
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3
New wave patterns to the doubly dispersive equation in nonlinear dynamic elasticity
Published in Pramāṇa (01-12-2020)“…This study aims to obtain travelling wave solutions of the doubly dispersive equation in nonlinear dynamic elasticity by the sine-Gordon expansion method. We…”
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4
On the exact solutions of the fractional (2+1)- dimensional Davey - Stewartson equation system
Published in An international journal of optimization and control (31-10-2017)“…In this work, we construct the exact traveling wave solutions of the fractional (2+1)-dimensional Davey-Stewartson equation system (D-S) that is complex…”
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5
On the new travelling wave solution of a neural communication model
Published in Balıkesir Üniversitesi Fen Bilimleri Enstitüsü dergisi (28-06-2019)“…The aim of this study is to present some new travelling wave solutions of conformable time-fractional Fitzhugh–Nagumo equation that model the transmission of…”
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6
Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique
Published in Optical and quantum electronics (2020)“…This paper presents an analytical solver which is known as a generalization of types methodologies. With the proposed method, one of the old but at the same…”
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7
Novel archetypes of new coupled Konno–Oono equation by using sine–Gordon expansion method
Published in Optical and quantum electronics (01-09-2017)“…In this manuscript, we investigate the analytical solutions of the new coupled Konno–Oono equation by using the sine–Gordon expansion method. We successfully…”
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8
New wave approach to the conformable resonant nonlinear Schödinger’s equation with Kerr-law nonlinearity
Published in Optical and quantum electronics (01-04-2022)“…In this research, we analyze travelling wave solutions of the conformable resonant nonlinear Schrödinger’s equation with Kerr-law nonlinearity by using an…”
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9
A new analytical method to the conformable chiral nonlinear Schrödinger equation in the quantum Hall effect
Published in Pramāṇa (01-03-2022)“…In this work, our goal is to find more general exact travelling wave solutions of the (1 + 1)- and (2 + 1)-dimensional nonlinear chiral Schrödinger equation…”
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10
Complex solitons in the conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation
Published in AIMS mathematics (2020)“…In this paper, we study on the conformable (2+1)-dimensional Ablowitz-KaupNewell-Segur equation in order to show the existence of complex combined dark-bright…”
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11
New Numerical Results for the Time-Fractional Phi-Four Equation Using a Novel Analytical Approach
Published in Symmetry (Basel) (01-03-2020)“…This manuscript investigates the fractional Phi-four equation by using q -homotopy analysis transform method ( q -HATM) numerically. The Phi-four equation is…”
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12
New exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity
Published in Journal of King Saud University. Science (01-01-2021)“…This paper anatomizes the exact solutions of the resonant non-linear Schrödinger’s equation (R-NLSE) with the Kerr law non-linearity with the assistance of the…”
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13
A powerful approach for fractional Drinfeld–Sokolov–Wilson equation with Mittag-Leffler law
Published in Alexandria engineering journal (01-12-2019)“…The pivotal aim of the present work is to find the solution for fractional Drinfeld–Sokolov–Wilson equation using q-homotopy analysis transform method…”
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14
A New Approach to (3+1) Dimensional Boiti–Leon–Manna–Pempinelli Equation
Published in Applied mathematics and nonlinear sciences (01-01-2020)“…In this article, some new travelling wave solutions of the (3+1) dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation are obtained using the modified…”
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15
New complex wave patterns to the electrical transmission line model arising in network system
Published in AIMS mathematics (01-01-2020)“…This study reveals new voltage behaviors to the electrical transmission line equation in a network system by using the newly presented sine-Gordon equation…”
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16
On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth
Published in Gazi University Journal of Science (01-06-2023)“…In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to…”
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17
Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation
Published in AIMS mathematics (01-01-2021)“…In this paper, complex and combined dark-bright characteristic properties of nonlinear Date-Jimbo-Kashiwara-Miwa equation with conformable are extracted by…”
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18
New dark-bright soliton in the shallow water wave model
Published in AIMS mathematics (01-01-2020)“…In this paper, we employ the sine-Gordon expansion method to shallow water wave models which are Kadomtsev-Petviashvili-Benjamin-Bona-Mahony and the…”
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19
A novel analytical approach to the Benjamin–Ono equation
Published in Physica scripta (01-05-2024)“…Abstract This article examines some travelling wave solutions to the second-order Benjamin-Ono equation by using an analytical scheme via the sine-Gordon…”
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20
Newly Developed Analytical Scheme and Its Applications to the Some Nonlinear Partial Differential Equations with the Conformable Derivative
Published in Fractal and fractional (01-12-2021)“…This paper presents a novel and general analytical approach: the rational sine-Gordon expansion method and its applications to the nonlinear Gardner and…”
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