TY - JOUR
T1 - Multiscale expansions for a generalized cylindrical nonlinear Schrodinger equation
AU - Frantzeskakis, Dimitri J.
AU - Malomed, Boris A.
N1 - Funding Information:
This work has been supported in part by the General Secretariat of Research and Technology of the Hellenic Ministry of Development (PENED-94 Grant #1242), as well as by the Special Research Account of the University of Athens. Constructive discussions with Dr. Yuri S. Kivshar are appreciated.
PY - 1999/12/20
Y1 - 1999/12/20
N2 - Considering a (3 + 1)-dimensional generalized nonlinear Schrodinger equation, we use the reductive multiscale expansion method to derive new evolution equations for small-amplitude solitary waves on a finite background. These equations are a combination of the so-called Johnson's and a CI equation for the spatial solitons, and a CII equation for the temporal solitons. It is shown that the simplest one-dimensional soliton solutions to these two equations are either dark or anti-dark, depending on the type of the nonlinearity and a value of the background amplitude. It is also demonstrated that one can easily switch a dark soliton into an anti-dark one, increasing the background intensity. (C) 1999 Elsevier Science B.V.
AB - Considering a (3 + 1)-dimensional generalized nonlinear Schrodinger equation, we use the reductive multiscale expansion method to derive new evolution equations for small-amplitude solitary waves on a finite background. These equations are a combination of the so-called Johnson's and a CI equation for the spatial solitons, and a CII equation for the temporal solitons. It is shown that the simplest one-dimensional soliton solutions to these two equations are either dark or anti-dark, depending on the type of the nonlinearity and a value of the background amplitude. It is also demonstrated that one can easily switch a dark soliton into an anti-dark one, increasing the background intensity. (C) 1999 Elsevier Science B.V.
UR - http://www.scopus.com/inward/record.url?scp=0000790406&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(99)00753-7
DO - 10.1016/S0375-9601(99)00753-7
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0000790406
SN - 0375-9601
VL - 264
SP - 179
EP - 185
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 2-3
ER -