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Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzéica-Dodd-Bullough-Mikhailov Type
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
By using the integral bifurcation method, a generalized Tzitzéica-Dodd-Bullough-Mikhailov (TDBM) equation is studied.
Under different parameters, we investigated different kinds of exact traveling wave solutions of this generalized TDBM equation.
Many singular traveling wave solutions with blow-up form and broken form, such as periodic blow-up wave solutions, solitary wave solutions of blow-up form, broken solitary wave solutions, broken kink wave solutions, and some unboundary wave solutions, are obtained.
In order to visually show dynamical behaviors of these exact solutions, we plot graphs of profiles for some exact solutions and discuss their dynamical properties.
American Psychological Association (APA)
Rui, Weiguo. 2013. Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzéica-Dodd-Bullough-Mikhailov Type. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-468770
Modern Language Association (MLA)
Rui, Weiguo. Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzéica-Dodd-Bullough-Mikhailov Type. Journal of Applied Mathematics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-468770
American Medical Association (AMA)
Rui, Weiguo. Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzéica-Dodd-Bullough-Mikhailov Type. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-468770
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468770