Classical Lie symmetries and reductions for a generalized NLS equation in 2+1 dimensions. (21st December 2017)

• Record Type: Journal Article
• Authors: Albares, P.; Conde, J. M.; Estévez, P. G.
• Is Part Of: Journal of nonlinear mathematical physics. Volume 24(2017)Supplement 1
• Page Start: 48
• Page End: 60
• Publication Date: 2017-12-21
• Subjects: Lie symmetries -- similarity reductions -- Lax pair; 35C06 -- 35C30 -- 35051; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2017.1418053
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : A non-isospectral linear problem for an integrable 2+1 generalization of the non linear Schrödinger equation, which includes dispersive terms of third and fourth order, is presented. The classical symmetries of the Lax pair and the related reductions are carefully studied. We obtain several reductions of the Lax pair that yield in some cases non-isospectral problems in 1+1 dimensions.