![](/images/graphics-bg.png)
Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation
Joint Authors
Khalique, Chaudry Masood
Johnpillai, Andrew Gratien
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-16
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We study a modified Hunter-Saxton equation from the Lie group-theoretic point of view.
The Lie point symmetry generators of the underlying equation are derived.
We utilize the Lie algebra admitted by the equation to obtain the optimal system of one-dimensional subalgebras of the Lie algebra of the equation.
These subalgebras are then used to reduce the underlying equation to nonlinear third-order ordinary differential equations.
Exact traveling wave group-invariant solutions for the equation are constructed by integrating the reduced ordinary differential equations.
Moreover, using the variational method, we construct infinite number of nonlocal conservation laws by the transformation of the dependent variable of the underlying equation.
American Psychological Association (APA)
Johnpillai, Andrew Gratien& Khalique, Chaudry Masood. 2013. Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-454273
Modern Language Association (MLA)
Johnpillai, Andrew Gratien& Khalique, Chaudry Masood. Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-454273
American Medical Association (AMA)
Johnpillai, Andrew Gratien& Khalique, Chaudry Masood. Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-454273
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454273