title: |
Solitary Waves in a Madelung Fluid Description of Derivative NLS Equations |
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publication: |
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| volume-issue: | 15 - supplement 3 | |
| pages: | 209 - 219 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2008.15.s3.21 (how to use a DOI) | |
author(s): |
Dan Grecu, Alexandru Tudor Grecu, Anca Visinescu, Renato Fedele, Sergio De Nicola |
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publication date: |
October 2008 |
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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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |