Search Results - "Pandır, Yusuf"
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1
An application of the new function method to the Zhiber–Shabat equation
Published in An international journal of optimization and control (28-10-2017)“…This paper applies a new approach including the trial equation based on the exponential function in order to find new traveling wave solutions to Zhiber-Shabat…”
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2
A New Version of the Generalized F-Expansion Method for the Fractional Biswas-Arshed Equation and Boussinesq Equation with the Beta-Derivative
Published in Journal of function spaces (2023)“…In this article, a new version of the generalized F-expansion method is proposed enabling to obtain the exact solutions of the Biswas-Arshed equation and…”
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3
New soliton solutions of the nonlinear Radhakrishnan-Kundu-Lakshmanan equation with the beta-derivative
Published in Optical and quantum electronics (01-04-2022)“…In this paper, the modified exponential function method is applied to find the exact solutions of the Radhakrishnan-Kundu-Lakshmanan equation with Atangana’s…”
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4
The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation
Published in Abstract and Applied Analysis (01-01-2013)“…The fractional partial differential equations stand for natural phenomena all over the world from science to engineering. When it comes to obtaining the…”
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5
Multiple Soliton Solutions for Nonlinear Differential Equations with a New Version of Extended F-Expansion Method
Published in National Academy of Sciences, India. Proceedings. Section A. Physical Sciences (01-09-2021)“…In this article, a new version of extended F-expansion method is suggested. A multiple Jacobi elliptic functions are presented in the solution function. We…”
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6
The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation
Published in Advances in mathematical physics (27-04-2023)“…In this study, the exact solutions of the Biswas-Arshed equation with the beta time derivative, which has an important role and physically means that it…”
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7
Generalized Kudryashov Method for Time-Fractional Differential Equations
Published in Abstract and Applied Analysis (01-01-2014)“…In this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard…”
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Exact Solutions of the Stochastic Conformable Broer–Kaup Equations
Published in Axioms (01-09-2023)“…In this article, the exact solutions of the stochastic conformable Broer–Kaup equations with conformable derivatives which describe the bidirectional…”
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The Extended Trial Equation Method for Some Time Fractional Differential Equations
Published in Discrete Dynamics in Nature and Society (01-01-2013)“…Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in…”
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10
Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution
Published in Abstract and Applied Analysis (01-01-2012)“…We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP…”
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11
A new study on fractional Schamel Korteweg–De Vries equation and modified Liouville equation
Published in Chinese journal of physics (Taipei) (01-12-2024)“…•The method is effective in solving fractional equations.•Obtaining exact solutions enables detailed interpretation of the model represented by the…”
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12
New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations
Published in Journal of mathematics (Hidawi) (01-01-2013)“…We firstly give some new functions called generalized hyperbolic functions. By the using of the generalized hyperbolic functions, new kinds of transformations…”
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13
Analytical approach for the fractional differential equations by using the extended tanh method
Published in Waves in random and complex media (03-07-2018)“…In this study, we consider analytical solutions of space-time fractional derivative foam drainage equation, the nonlinear Korteweg-de Vries equation with time…”
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14
Dynamics of combined soliton solutions of unstable nonlinear Schrodinger equation with new version of the trial equation method
Published in Chinese journal of physics (Taipei) (01-10-2020)“…•Unstable nonlinear Schrödinger equation is investigated.•Dynamics of combined soliton solutions are reported.•The analytical results are obtained by using a…”
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15
New exact solutions of the generalized Zakharov–Kuznetsov modified equal-width equation
Published in Pramāṇa (01-06-2014)“…In this paper, new exact solutions, including soliton, rational and elliptic integral function solutions, for the generalized Zakharov–Kuznetsov modified…”
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16
New exact solutions of the space-time fractional cubic Schrodinger equation using the new type F-expansion method
Published in Waves in random and complex media (03-07-2019)“…In this study, a more general version of F-expansion method is proposed. With this offered method, more than one Jacobi elliptic functions are located in the…”
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17
New solitary wave solutions of Maccari system
Published in Ocean engineering (01-07-2015)“…In this paper, we consider exact solutions of Maccari system. We tackle extended trial equation method and generalized Kudryashov method to find exact…”
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Journal Article -
18
A new version of trial equation method for a complex nonlinear system arising in optical fibers
Published in Optical and quantum electronics (03-05-2024)“…In this study, the dissipation problem of nonlinear pulse in mono mode optical fibers which is governed by the Fokas system (FS) is considered. The solutions…”
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19
Different wave structures in water wave mechanics with two conformable models
Published in Journal of applied mathematics & computing (10-09-2024)Get full text
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20
Analysis of Exact Solutions of a Mathematical Model by New Function Method
Published in Cumhuriyet Science Journal (27-12-2022)“…In this article, the new function method is used to obtain the wave solutions of the nonlinear Klein-Gordon equation. Since the Klein-Gordon equation is a…”
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