Exact Solutions of Two Nonlinear Partial Differential Equations by Using the First Integral Method
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
Abstract
In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. In this paper, we utilize this method and obtain exact solutions of two nonlinear partial differential equations, namely double sine-Gordon and Burgers equations. It is found that the method by Feng is a very efficient method which can be used to obtain exact solutions of a large number of nonlinear partial differential equations.
Description
Khalique, Chaudry Masood/0000-0002-1986-4859; Jafari, Hossein/0000-0001-6807-6675
Keywords
First Integral Method, Double Sine-Gordon Equation, Burgers Equation, Exact Solutions, Algebra and Number Theory, Analysis, Nonlinear parabolic equations, double sine-Gordon equation, Solutions to PDEs in closed form, Burgers equation
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q2

OpenCitations Citation Count
16
Source
Boundary Value Problems
Volume
2013
Issue
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 8
Scopus : 12
Captures
Mendeley Readers : 11
Web of Science™ Citations
10
checked on Feb 24, 2026
Page Views
2
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