New Exact Solutions of Burgers' Type Equations With Conformable Derivative
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd
Open Access Color
Green Open Access
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Top 1%
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Top 1%
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Top 1%
Abstract
In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers' equation, modified Burgers' equation, and Burgers-Korteweg-de Vries equation. We report that this method is efficient and it can be successfully used to obtain new analytical solutions of nonlinear FDEs.
Description
Keywords
First Integral Method, Burgers' Equation, Modified Burgers Equation, Conformable Derivative, Burgers-Korteweg-De Vries Equation, Burgers’ Equation, Burgers–Korteweg–de Vries Equation, Burgers' equation, modified Burgers equation, First integral method, conformable derivative, Burgers-Korteweg-de Vries equation, Burgers' equation
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Çenesiz, Y...et al. (2017).New exact solutions of Burgers' type equations with conformable derivative. Waves In Random And Complex Media, 27(1), 103-116. http://dx.doi.org/ 10.1080/17455030.2016.1205237
WoS Q
Scopus Q
OpenCitations Citation Count
163
Source
Waves in Random and Complex Media
Volume
27
Issue
1
Start Page
103
End Page
116
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CrossRef : 146
Scopus : 199
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