GENERAL |
|
|
|
|
Bright-Dark Mixed $N$-Soliton Solution of the Two-Dimensional Maccari System |
Zhong Han1, Yong Chen1,2** |
1Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062 2Department of Physics, Zhejiang Normal University, Jinhua 321004
|
|
Cite this article: |
Zhong Han, Yong Chen 2017 Chin. Phys. Lett. 34 070202 |
|
|
Abstract The general bright-dark mixed $N$-soliton solution of the two-dimensional Maccari system is obtained with the KP hierarchy reduction method. The dynamics of single and two solitons are discussed in detail. Asymptotic analysis shows that two solitons undergo elastic collision accompanied by a position shift. Furthermore, our analysis on mixed soliton bound states shows that arbitrary higher-order soliton bound states can take place.
|
|
Received: 29 March 2017
Published: 23 June 2017
|
|
|
|
Fund: Supported by the Global Change Research Program of China under Grant No 2015CB953904, the National Natural Science Foundation of China under Grant Nos 11675054 and 11435005, and the Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things under Grant No ZF1213. |
|
|
[1] | Maccari A 1997 J. Math. Phys. 38 4151 | [2] | Zakharov V E and Shabat A B 1972 Sov. Phys. JETP 34 62 | [3] | Craik A D D 1985 Wave Interactions and Fluid Flows (Cambridge: Cambridge University Press) | [4] | Fokas A 1994 Inverse Probl. 10 L19 | [5] | Uthayakumar A, Nakkeeran K and Porsezian K 1999 Chaos Solitons Fractals 10 1513 | [6] | Lai D W C and Chow K W 2001 J. Phys. Soc. Jpn. 70 666 | [7] | Lou S Y and Lu J Z 1996 J. Phys. A 29 4209 | [8] | Lou S Y and Ruan H Y 2001 J. Phys. A 34 305 | [9] | Tang X Y, Lou S Y and Zhang Y 2002 Phys. Rev. E 66 046601 | [10] | Zhang J F 2001 Commun. Theor. Phys. 35 267 | [11] | Zhang J F, Huang W H and Zheng C L 2002 Acta Phys. Sin. 51 2676 (in Chinese) | [12] | Yuan F, Rao J G, Porsezian K, Mihalache D and He J S 2016 Rom. J. Phys. 61 378 | [13] | Jimbo M and Miwa T 1983 Publ. RIMS Kyoto Univ. 19 943 | [14] | Ohta Y, Wang D S and Yang J K 2011 Stud. Appl. Math. 127 345 | [15] | Feng B F 2014 J. Phys. A 47 355203 | [16] | Chen J C, Chen Y, Feng B F and Maruno K 2015 J. Phys. Soc. Jpn. 84 034002 | [17] | Chen J C, Chen Y, Feng B F and Maruno K 2015 J. Phys. Soc. Jpn. 84 074001 | [18] | Ohta Y and Yang J K 2012 Phys. Rev. E 86 036604 | [19] | Ohta Y and Yang J K 2013 J. Phys. A 46 105202 | [20] | Hirota R 2004 The Direct Method in Soliton Theory (Cambridge: Cambridge University Press) | [21] | Zhang X E and Chen Y 2017 Commun. Nonlinear Sci. Numer. Simul. 52 24 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|