Asymptotic analysis of the 2-dimensional soliton solutions for the nizhnik-veselov-novikov equations
Turkish Journal of Mathematics, cilt.38, sa.2, ss.278-296, 2014 (SCI-Expanded, Scopus, TRDizin)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.