The First-Integral Method and Abundant Explicit Exact Solutions to the Zakharov Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-31
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper is concerned with the system of Zakharov equations which involves the interactions between Langmuir and ion-acoustic waves in plasma.
Abundant explicit and exact solutions of the system of Zakharov equations are derived uniformly by using the first integral method.
These exact solutions are include that of the solitary wave solutions of bell-type for n and E, the solitary wave solutions of kink-type for E and bell-type for n, the singular traveling wave solutions, periodic wave solutions of triangle functions, Jacobi elliptic function doubly periodic solutions, and Weierstrass elliptic function doubly periodic wave solutions.
The results obtained confirm that the first integral method is an efficient technique for analytic treatment of a wide variety of nonlinear systems of partial differential equations.
American Psychological Association (APA)
Shang, Yadong& Zheng, Xiaoxiao. 2012. The First-Integral Method and Abundant Explicit Exact Solutions to the Zakharov Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993732
Modern Language Association (MLA)
Shang, Yadong& Zheng, Xiaoxiao. The First-Integral Method and Abundant Explicit Exact Solutions to the Zakharov Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-993732
American Medical Association (AMA)
Shang, Yadong& Zheng, Xiaoxiao. The First-Integral Method and Abundant Explicit Exact Solutions to the Zakharov Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993732
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993732