Fusion, fission, and annihilation of complex waves for the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff system

doi:10.1088/1674-1056/23/6/060505

Abstract With the help of the symbolic computation system, Maple and Riccati equation (ξ'=a₀+a₁ ξ+a₂ ξ²), expansion method, and a linear variable separation approach, a new family of exact solutions with q=lx+my+nt+Γ(x,y,t) for the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff system (GCBS) are derived. Based on the derived solitary wave solution, some novel localized excitations such as fusion, fission, and annihilation of complex waves are investigated.

Keywords: Riccati equation expansion method GCBS system exact solutions fusion fission and annihilation of complex waves

Received: 12 November 2013
Revised: 12 December 2013
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	03.65.Ge	(Solutions of wave equations: bound states)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11375079), the Scientific Research Fund of Zhejiang Provincial Education Department of China (Grant No. Y 201120994), and the Natural Science Foundation of Zhejiang Province, China (Grant Nos. Y6100257, LY14A010005, and Y6110140).

Corresponding Authors: Ma Song-Hua
E-mail: msh6209@aliyun.com

Cite this article:

Zhu Wei-Ting (朱维婷), Ma Song-Hua (马松华), Fang Jian-Ping (方建平), Ma Zheng-Yi (马正义), Zhu Hai-Ping (朱海平) Fusion, fission, and annihilation of complex waves for the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff system 2014 Chin. Phys. B 23 060505

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Fusion, fission, and annihilation of complex waves for the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff system

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