Asymptotic analysis of the 2-dimensional soliton solutions for the nizhnik-veselov-novikov equations

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ÜNAL M.

Turkish Journal of Mathematics, vol.38, no.2, pp.278-296, 2014 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.3906/mat-1212-13
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.278-296
  • Keywords: Dromion, Soliton
  • Uşak University Affiliated: Yes

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. © TÜBITAK.