Variable coefficient Davey-Stewartson system with a Kac-Moody-Virasoro symmetry algebra

F. Güngör, C. Özemir

Araştırma sonucu: Dergiye katkıMakalebilirkişi

6 Atıf (Scopus)

Özet

We study the symmetry group properties of the variable coefficient Davey-Stewartson (vcDS) system. The Lie point symmetry algebra with a Kac-Moody-Virasoro (KMV) structure is shown to be isomorphic to that of the usual (constant coefficient) DS system if and only if the coefficients satisfy some conditions. These conditions turn out to coincide with those for the vcDS system to be transformable to the DS system by a point transformation. The equivalence group of the vcDS system is applied to pick out the integrable subsystems from a class of non-integrable ones. Additionally, the full symmetry group of the DS system is derived explicitly without exponentiating its symmetry algebra. Lump solutions (rationally localized in all directions in R2) introduced by Ozawa for the DS system are shown to hold even for the vcDS system precisely when the system belongs to the integrable class, i.e., equivalent to the DS system. These solutions can be used for establishing exact blow-up solutions in finite time in the space L2(R2) in the focusing case.

Orijinal dilİngilizce
Makale numarası063502
DergiJournal of Mathematical Physics
Hacim57
Basın numarası6
DOI'lar
Yayın durumuYayınlandı - 1 Haz 2016

Bibliyografik not

Publisher Copyright:
© 2016.

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