On some canonical classes of cubic-quintic nonlinear Schrodinger equations

Özemir, Cihangir

doi:10.1016/j.jmaa.2016.09.039

On some canonical classes of cubic-quintic nonlinear Schrodinger equations

Atıf İçin Kopyala

Özemir C.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.446, sa.2, ss.1814-1832, 2017 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 446 Sayı: 2
Basım Tarihi: 2017
Doi Numarası: 10.1016/j.jmaa.2016.09.039
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1814-1832
İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper we bring into attention variable coefficient cubic-quintic nonlinear Schrodinger 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. Painleve integrability of these reduced equations is investigated. Exact solutions through truncated Painleve expansions are achieved in some cases. One of these solutions, a conformal-group invariant one, exhibits blow-up behavior in finite time in L-p, L-infinity norm and in distributional sense. (C) 2016 Elsevier Inc. All rights reserved.