Title

Integrability characteristics of two-dimensional generalizations of NLS type equations

Authors

Authors

S. R. Choudhury

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

J. Math. Phys.

Keywords

PARTIAL-DIFFERENTIAL EQUATIONS; (2+1)-DIMENSIONAL KDV EQUATION; INVARIANT PAINLEVE ANALYSIS; PERIODIC FIXED-POINTS; SINE-GORDON; EQUATIONS; BACKLUND-TRANSFORMATIONS; DARBOUX TRANSFORMATIONS; KORTEWEG-DEVRIES; UNIFIED APPROACH; LAX PAIRS; Physics, Mathematical

Abstract

A recent procedure based on truncated Painleve 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. (C) 2003 American Institute of Physics.

Journal Title

Journal of Mathematical Physics

Volume

82

Issue/Number

12

Publication Date

1-1-2003

Document Type

Article

DOI Link

http://dx.doi.org/10.1063/1.1623929

Language

English

First Page

5733

Last Page

5750

WOS Identifier

WOS:000182570000051

ISSN

0022-2488

Recommended Citation

"Integrability characteristics of two-dimensional generalizations of NLS type equations" (2003). Faculty Bibliography 2000s. 3674.
https://stars.library.ucf.edu/facultybib2000/3674