Fusion and fission solitons for the (2+1)-dimensional generalized Breor–Kaup system

doi:10.1088/1674-1056/19/9/090305

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90305-090305.doi: 10.1088/1674-1056/19/9/090305

Fusion and fission solitons for the (2+1)-dimensional generalized Breor–Kaup system

强继业, 马松华, 方建平

College of Mathematics and Physics, Lishui University, Lishui 323000, China

收稿日期:2009-11-12 修回日期:2009-12-11 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
Project supported by the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y604106 and Y606252), and the Natural Science Foundation of Zhejiang Lishui University of China (Grant No. KZ09005).

Fusion and fission solitons for the (2+1)-dimensional generalized Breor–Kaup system

Qiang Ji-Ye(强继业), Ma Song-Hua(马松华)^†, and Fang Jian-Ping(方建平)

College of Mathematics and Physics, Lishui University, Lishui 323000, China

Received:2009-11-12 Revised:2009-12-11 Online:2010-09-15 Published:2010-09-15
Supported by:
Project supported by the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y604106 and Y606252), and the Natural Science Foundation of Zhejiang Lishui University of China (Grant No. KZ09005).

摘要/Abstract

摘要： With a projective equation and a linear variable separation method, this paper derives new families of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) with arbitrary functions for (2+1)-dimensional generalized Breor--Kaup (GBK) system. Based on the derived solitary wave excitation, it obtains fusion and fission solitons.

Abstract: With a projective equation and a linear variable separation method, this paper derives new families of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) with arbitrary functions for (2+1)-dimensional generalized Breor–Kaup (GBK) system. Based on the derived solitary wave excitation, it obtains fusion and fission solitons.

Key words: projective equation, GBK system, variable separation solutions, fusion and fission solitons

中图分类号:

0340

强继业, 马松华, 方建平. Fusion and fission solitons for the (2+1)-dimensional generalized Breor–Kaup system[J]. 中国物理B, 2010, 19(9): 90305-090305.

Qiang Ji-Ye(强继业), Ma Song-Hua(马松华), and Fang Jian-Ping(方建平). Fusion and fission solitons for the (2+1)-dimensional generalized Breor–Kaup system[J]. Chin. Phys. B, 2010, 19(9): 90305-090305.

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Fusion and fission solitons for the (2+1)-dimensional generalized Breor–Kaup system

Fusion and fission solitons for the (2+1)-dimensional generalized Breor–Kaup system

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