Journal of Nonlinear Mathematical Physics

Volume 15, Issue supplement 3, October 2008, Pages 209 - 219

Solitary Waves in a Madelung Fluid Description of Derivative NLS Equations

Authors
Dan Grecu, Alexandru Tudor Grecu, Anca Visinescu, Renato Fedele, Sergio De Nicola
Corresponding Author
Dan Grecu
Available Online 1 October 2008.
DOI
10.2991/jnmp.2008.15.s3.21How to use a DOI?
Abstract

Recently using a Madelung fluid description a connection between envelope-like solutions of NLS-type equations and soliton-like solutions of KdV-type equations was found and investigated by R. Fedele et al. (2002). A similar discussion is given for the class of derivative NLS-type equations. For a motion with stationary profile current velocity the fluid density satisfies generalized stationary Gardner equation, and solitary wave solutions are found. For the completely integrable cases these are compared with existing solutions in literature.

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - supplement 3
Pages
209 - 219
Publication Date
2008/10/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.s3.21How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Dan Grecu
AU  - Alexandru Tudor Grecu
AU  - Anca Visinescu
AU  - Renato Fedele
AU  - Sergio De Nicola
PY  - 2008
DA  - 2008/10/01
TI  - Solitary Waves in a Madelung Fluid Description of Derivative NLS Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 209
EP  - 219
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.21
DO  - 10.2991/jnmp.2008.15.s3.21
ID  - Grecu2008
ER  -