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

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ÜNAL M.

Turkish Journal of Mathematics, cilt.38, sa.2, ss.278-296, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3906/mat-1212-13
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.278-296
  • Anahtar Kelimeler: Dromion, Soliton
  • Uşak Üniversitesi Adresli: Evet

Özet

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.