Asymptotic analysis of the 2-dimensional soliton solutions for the Nizhnik--Veselov--Novikov equations

Authors: METİN ÜNAL

Abstract: In this paper we present a direct approach to determining a class of solutions, the asymptotic analysis of the dromion solutions, and their asymptotic properties of the Nizhnik--Veselov--Novikov equations by means of Pfaffians. The form of the solution obtained allows a detailed asymptotic analysis of the dromion solutions and compact expression for the phase shifts and changes of amplitude as a result of interaction of the dromions to be determined.

Keywords: Soliton, dromion

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