Title

Integrability Characteristics Of Two-Dimensional Generalizations Of Nls Type Equations

Abstract

A recent procedure based on truncated Painlevé expansions is used to derive Lax Pairs, Darboux transformations, and various soliton solutions for integrable (2 +1 ) generalizations of NLS type equations. In particular, diverse classes of solutions are found analogous to the dromion, instanton, lump, and ring soliton solutions derived recently for (2+1) Korteweg-de Vries type equations, the Nizhnik-Novikov-Veselov equation, and the (2+1) Broer-Kaup system. © 2003 American Institute of Physics.

Publication Date

12-1-2003

Publication Title

Journal of Mathematical Physics

Volume

44

Issue

12

Number of Pages

5733-5750

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1063/1.1623929

Socpus ID

0344287506 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0344287506

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