On some canonical classes of cubic–quintic nonlinear Schrödinger equations

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Özet

In this paper we bring into attention variable coefficient cubic–quintic nonlinear Schrödinger equations which admit Lie symmetry algebras of dimension four. Within this family, we obtain the reductions of canonical equations of nonequivalent classes to ordinary differential equations using tools of Lie theory. Painlevé integrability of these reduced equations is investigated. Exact solutions through truncated Painlevé expansions are achieved in some cases. One of these solutions, a conformal-group invariant one, exhibits blow-up behavior in finite time in Lp, L norm and in distributional sense.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)1814-1832
Sayfa sayısı19
DergiJournal of Mathematical Analysis and Applications
Hacim446
Basın numarası2
DOI'lar
Yayın durumuYayınlandı - 15 Şub 2017

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Publisher Copyright:
© 2016 Elsevier Inc.

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