On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-12
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper is concerned with instability of periodic travelling wave solutions of the modified Boussinesq equation.
Periodic travelling wave solutions with a fixed fundamental period L will be constructed by using Jacobi's elliptic functions.
It will be shown that these solutions, called dnoidal waves, are nonlinearly unstable in the energy space for a range of their speeds of propagation and periods.
American Psychological Association (APA)
Arruda, Lynnyngs Kelly. 2010. On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-487142
Modern Language Association (MLA)
Arruda, Lynnyngs Kelly. On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-21.
https://search.emarefa.net/detail/BIM-487142
American Medical Association (AMA)
Arruda, Lynnyngs Kelly. On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-487142
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487142
