Z. Naturforsch. 68a, 447 – 453
Interaction Behaviours Among Special Solitons in the (2+1)-Dimensional Modified Dispersive Water-Wave System
School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an, Zhejiang 311300, P. R. China
Received November 20, 2012 / revised February 5, 2013 / published online May 1, 2013
A modified mapping method is used to obtain variable separation solutions with two arbitrary functions of the (2 + 1)-dimensional modified dispersive water-wave system. Based on the variable separation solution and by selecting appropriate functions, we discuss interaction behaviours among special anti-solitons constructed by multi-valued functions. The analysis results exhibit that the interaction behaviours among special anti-dromion, dromion-like anti-peakon, and dromion-like anti-semifoldon are all non-completely elastic and phase shifts exist, while the interaction behaviour among dromion-like anti-semifoldons is completely elastic and without phase shifts.
Key words: Modified Dispersive Water-Wave System; Modified Mapping Method; Positive and Negative Symmetric Variable Separation Solution; Interactions Between Special Solitons.
PACS numbers: 05.45.Yv; 02.30.Ik; 03.65.Ge