https://doi.org/10.1140/epjd/e2006-00080-8
The study of soliton fission and fusion in (2+1)-dimensional nonlinear system
School of Physics Science and Information Engineering, Liaocheng University, Shandong, 252059, P.R. China
Corresponding author: a lcced_bcl@hotmail.com
Received:
5
September
2005
Revised:
13
January
2006
Published online:
11
April
2006
By means of a variable separation approach and an extended homogeneous balance method, a general variable separation excitation of a (2+1)-dimensional nonlinear system is derived. Based on the derived solution with arbitrary functions, we reveal soliton fission and fusion phenomena in the (2+1)-dimensional soliton system.
PACS: 05.45.Yv – Solitons / 04.30.Nk – Wave propagation and interactions / 02.30.Jr – Partial differential equations
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
