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

中国物理B ›› 2014, Vol. 23 ›› Issue (6): 60505-060505.doi: 10.1088/1674-1056/23/6/060505

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

朱维婷, 马松华, 方建平, 马正义, 朱海平

College of Science, Lishui University, Lishui 323000, China

收稿日期:2013-11-12 修回日期:2013-12-12 出版日期:2014-06-15 发布日期:2014-06-15
基金资助:
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).

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

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)

College of Science, Lishui University, Lishui 323000, China

Received:2013-11-12 Revised:2013-12-12 Online:2014-06-15 Published:2014-06-15
Contact: Ma Song-Hua E-mail:msh6209@aliyun.com
Supported by:
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).

摘要/Abstract

摘要： 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.

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

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.

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

中图分类号: (Solitons)

05.45.Yv

03.65.Ge (Solutions of wave equations: bound states)

朱维婷, 马松华, 方建平, 马正义, 朱海平. Fusion, fission, and annihilation of complex waves for the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff system[J]. 中国物理B, 2014, 23(6): 60505-060505.

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[J]. Chin. Phys. B, 2014, 23(6): 60505-060505.

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

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

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