Conservation Laws of Two (2+1)-Dimensional Nonlinear Evolution Equations with Higher-Order Mixed Derivatives
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, conservation laws for the (2+1)-dimensional ANNV equation and KP-BBM equation with higher-order mixed derivatives are studied.
Due to the existence of higher-order mixed derivatives, Ibragimov’s “new conservation theorem” cannot be applied to the two equations directly.
We propose two modification rules which ensure that the theorem can be applied to nonlinear evolution equations with any mixed derivatives.
Formulas of conservation laws for the ANNV equation and KP-BBM equation are given.
Using these formulas, many nontrivial and time-dependent conservation laws for these equations are derived.
American Psychological Association (APA)
Zhang, Li-hua. 2013. Conservation Laws of Two (2+1)-Dimensional Nonlinear Evolution Equations with Higher-Order Mixed Derivatives. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-483678
Modern Language Association (MLA)
Zhang, Li-hua. Conservation Laws of Two (2+1)-Dimensional Nonlinear Evolution Equations with Higher-Order Mixed Derivatives. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-483678
American Medical Association (AMA)
Zhang, Li-hua. Conservation Laws of Two (2+1)-Dimensional Nonlinear Evolution Equations with Higher-Order Mixed Derivatives. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-483678
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483678