Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations
Joint Authors
Qi, Jian-ming
Zhang, Fu
Huang, Zi-feng
Yuan, Wen-jun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We employ the complex method to obtain all meromorphic exact solutions of complex (2+1)-dimensional Boiti-Leon-Pempinelli equations (BLP system of equations).
The idea introduced in this paper can be applied to other nonlinear evolution equations.
Our results show that all rational and simply periodic traveling wave exact solutions of the equations (BLP) are solitary wave solutions, the complex method is simpler than other methods, and there exist some rational solutions ur,2(z) and simply periodic solutions us,2–6(z) which are not only new but also not degenerated successively by the elliptic function solutions.
We believe that this method should play an important role for finding exact solutions in the mathematical physics.
For these new traveling wave solutions, we give some computer simulations to illustrate our main results.
American Psychological Association (APA)
Qi, Jian-ming& Zhang, Fu& Yuan, Wen-jun& Huang, Zi-feng. 2014. Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1050865
Modern Language Association (MLA)
Qi, Jian-ming…[et al.]. Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations. The Scientific World Journal No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1050865
American Medical Association (AMA)
Qi, Jian-ming& Zhang, Fu& Yuan, Wen-jun& Huang, Zi-feng. Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1050865
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050865