Conservation Laws for a Generalized Coupled Korteweg-de Vries System
Joint Authors
Khalique, Chaudry Masood
Muatjetjeja, Ben
Nkwanazana, Daniel Mpho
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-08
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We construct conservation laws for a generalized coupled KdV system, which is a third-order system of nonlinear partial differential equations.
We employ Noether's approach to derive the conservation laws.
Since the system does not have a Lagrangian, we make use of the transformation u=Ux, v=Vx and convert the system to a fourth-order system in U, V.
This new system has a Lagrangian, and so the Noether approach can now be used to obtain conservation laws.
Finally, the conservation laws are expressed in the u, v variables, and they constitute the conservation laws for the third-order generalized coupled KdV system.
Some local and infinitely many nonlocal conserved quantities are found.
American Psychological Association (APA)
Nkwanazana, Daniel Mpho& Muatjetjeja, Ben& Khalique, Chaudry Masood. 2013. Conservation Laws for a Generalized Coupled Korteweg-de Vries System. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1008777
Modern Language Association (MLA)
Nkwanazana, Daniel Mpho…[et al.]. Conservation Laws for a Generalized Coupled Korteweg-de Vries System. Mathematical Problems in Engineering No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1008777
American Medical Association (AMA)
Nkwanazana, Daniel Mpho& Muatjetjeja, Ben& Khalique, Chaudry Masood. Conservation Laws for a Generalized Coupled Korteweg-de Vries System. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1008777
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008777
