Abundant soliton structures of \((2+1)\)-dimensional NLS equation.
type: Item
instance of: scholarly article
title: Abundant soliton structures of \((2+1)\)-dimensional NLS equation.
zbMATH Open document ID: 1048.35110
DOI: 10.1016/S0960-0779(02)00231-X
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
review text: Using the variable separation approach for the \((2+1)\)-dimensional NLS equation, the authors obtain some new types of multi-soliton solutions because of the existence of arbitrary functions appearing in seed solution. By selecting the arbitrary functions appropriately, the multiple localized solutions may be dromions, breathers, instantons, etc. The dromions may be driven. \((2+1)\)-dimensional breathers may breath not only in its amplitudes but also in its shapes. The instantons in \((2+1)\) dimensions may have also quite rich structures. The authors hope that the method developed in this paper may also be used to other \((2+1)\)-dimensional integrable models.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 37K40
zbMATH DE Number: 2027071
zbMATH Keywords: Bäcklund transformation
zbMATH Keywords: dromion solutions
zbMATH Keywords: variable separation method
author: Hang-Yu Ruan
author: Yi-Xin Chen
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Q5621188
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description: scientific article; zbMATH DE number 2027071