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The Bäcklund Transformations and Abundant Exact Explicit Solutions for a General Nonintegrable Nonlinear Convection-Diffusion Equation
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The Bäcklund transformations and abundant exact explicit solutions for a class of nonlinear wave equation are obtained by the extended homogeneous balance method.
These solutions include the solitary wave solution of rational function, the solitary wave solutions, singular solutions, and the periodic wave solutions of triangle function type.
In addition to rederiving some known solutions, some entirely new exact solutions are also established.
Explicit and exact particular solutions of many well-known nonlinear evolution equations which are of important physical significance, such as Kolmogorov-Petrovskii-Piskunov equation, FitzHugh-Nagumo equation, Burgers-Huxley equation, Chaffee-Infante reaction diffusion equation, Newell-Whitehead equation, Fisher equation, Fisher-Burgers equation, and an isothermal autocatalytic system, are obtained as special cases.
American Psychological Association (APA)
Huang, Yong& Shang, Yadong. 2011. The Bäcklund Transformations and Abundant Exact Explicit Solutions for a General Nonintegrable Nonlinear Convection-Diffusion Equation. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-475635
Modern Language Association (MLA)
Huang, Yong& Shang, Yadong. The Bäcklund Transformations and Abundant Exact Explicit Solutions for a General Nonintegrable Nonlinear Convection-Diffusion Equation. Abstract and Applied Analysis No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-475635
American Medical Association (AMA)
Huang, Yong& Shang, Yadong. The Bäcklund Transformations and Abundant Exact Explicit Solutions for a General Nonintegrable Nonlinear Convection-Diffusion Equation. Abstract and Applied Analysis. 2011. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-475635
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475635