|
|
|
The consistent Riccati expansion and new interaction solution for a Boussinesq-type coupled system |
| Ruan Shao-Qing (阮少卿)a b, Yu Wei-Feng (余炜沣)a c, Yu Jun (俞军)a, Yu Guo-Xiang (余国祥)a |
a Department of Physics, Shaoxing University, Shaoxing 312000, China;
b Department of Science, Shaoxing Xingwen Primary School, Shaoxing 312000, China;
c Faculty of Science, Ningbo University, Ningbo 315211, China |
|
|
|
|
Abstract Starting from the Davey–Stewartson equation, a Boussinesq-type coupled equation system is obtained by using a variable separation approach. For the Boussinesq-type coupled equation system, its consistent Riccati expansion (CRE) solvability is studied with the help of a Riccati equation. It is significant that the soliton–cnoidal wave interaction solution, expressed explicitly by Jacobi elliptic functions and the third type of incomplete elliptic integral, of the system is also given.
|
Received: 26 October 2014
Revised: 08 January 2015
Accepted manuscript online:
|
|
PACS:
|
02.30.Ik
|
(Integrable systems)
|
| |
05.45.Yv
|
(Solitons)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11275129). |
Corresponding Authors:
Yu Jun
E-mail: junyu@usx.edu.cn
|
| About author: 02.30.Ik; 05.45.Yv |
Cite this article:
Ruan Shao-Qing (阮少卿), Yu Wei-Feng (余炜沣), Yu Jun (俞军), Yu Guo-Xiang (余国祥) The consistent Riccati expansion and new interaction solution for a Boussinesq-type coupled system 2015 Chin. Phys. B 24 060201
|
| [1] |
Kivshar Y S and Luther-Davies B 1998 Phys. Rep. 298 81
|
| [2] |
Liu X Z, Yu J, Ren B and Yang J R 2014 Chin. Phys. B 23 100201
|
| [3] |
Liu X Z, Yu J, Ren B and Yang J R 2014 Chin. Phys. B 23 110203
|
| [4] |
Jin Y, Jia M and Lou S Y 2013 Chin. Phys. Lett. 30 020203
|
| [5] |
Qu G Z, Zhang S L and Li Y L 2014 Chin. Phys. B 23 110202
|
| [6] |
Gardner C S, Greene J M, Kruskal M D and Miura R M 1967 Phys. Rev. Lett. 19 1095
|
| [7] |
Gu C H 1992 Lett. Math. Phys. 26 199
|
| [8] |
Hirota R 1971 Phys. Rev. Lett. 27 1192
|
| [9] |
Clarkson P A and Kruskal M D 1989 J. Math. Phys. 30 2201
|
| [10] |
Lou S Y 1990 Phys. Lett. A 151 133
|
| [11] |
Lou S Y, Ruan H Y, Chen D F and Chen W Z 1991 J. Phys. A: Math. Gen. 24 1455
|
| [12] |
Lou S Y 2013 arXiv: 1308. 5891v2 [nlin.SI]
|
| [13] |
Yu W F, Lou S Y, Yu J and Hu H W 2014 Chin. Phys. Lett. 31 070203
|
| [14] |
Ilietarinta J 1990 Phys. Lett. A 149 113
|
| [15] |
Benney D J and Roskes G J 1969 Stud. Appl. Math. 48 377
|
| [16] |
Chakravarty S, Kent S L and Newman E T 1996 J. Phys. A. Math. Gen. 29 4209
|
| [18] |
Lou S Y 1998 Z. Naturforsch 53A 251
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
