Title
Solutions to a Novel Casimir Equation for the Ito System
Abbreviated Journal Title
Commun. Theor. Phys.
Keywords
nonlinear wave equation; Ito system; travelling waves; self-similar; solutions; Physics, Multidisciplinary
Abstract
We discuss two classes of solutions to a novel Casimir equation associated with the Ito system, a coupled nonlinear wave equation. Both travelling wave solutions and separable self-similar solutions are discussed. In a number of cases, explicit exact solutions are found. Such results, particularly the exact solutions, are useful in that they provide us a baseline of comparison to any numerical simulations. Besides, such solutions provide us a glimpse of the behavior of the Ito system, and hence the behavior of a type of nonlinear wave equation, for certain parameter regimes.
Journal Title
Communications in Theoretical Physics
Volume
56
Issue/Number
5
Publication Date
1-1-2011
Document Type
Article
Language
English
First Page
801
Last Page
804
WOS Identifier
ISSN
0253-6102
Recommended Citation
"Solutions to a Novel Casimir Equation for the Ito System" (2011). Faculty Bibliography 2010s. 2033.
https://stars.library.ucf.edu/facultybib2010/2033
Comments
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