On some canonical classes of cubic-quintic nonlinear Schrodinger equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Ozemir, C.¹ 

[1] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey

关键词: Nonlinear Schrodinger;    Lie symmetry;    Blow-up;   

DOI  :  10.1016/j.jmaa.2016.09.039

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free