Truncated Painlevé Expansion - A Unified Approach to Exact Solutions and Dromi on Interactions of (2+1)-Dimensional Nonlinear Systems

Abstract

In this paper, we formulate a method wherein we harness the results of the Painleve analysis to generate the solutions of the (2+1)-dimensional Ablowitz-Kaup-Newell-Segur system completely in terms of the arbitrary functions. This method is mainly based on the results of the truncated Painleve expansion. Different types of interactions among dromions are deeply understood both analytically and numerically. Especially, different from the traditional viewpoint, we point out that the soliton (dromion) fission and fusion may be an approximate phenomenon. © 2007, Verlag der Zeitschrift für Naturforschung. All rights reserved.