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/).
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 -