Simultaneous solitary-wave solutions in a nonlinear parametric waveguide

He H., Werner M.J. and Drummond P.D. (1996) Simultaneous solitary-wave solutions in a nonlinear parametric waveguide. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 54 1: 896-911. doi:10.1103/PhysRevE.54.896


Author He H.
Werner M.J.
Drummond P.D.
Title Simultaneous solitary-wave solutions in a nonlinear parametric waveguide
Journal name Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics   Check publisher's open access policy
ISSN 1063-651X
Publication date 1996-01-01
Sub-type Article (original research)
DOI 10.1103/PhysRevE.54.896
Open Access Status Not yet assessed
Volume 54
Issue 1
Start page 896
End page 911
Total pages 16
Language eng
Subject 2610 Mathematical Physics
3100 Physics and Astronomy
3104 Condensed Matter Physics
3109 Statistical and Nonlinear Physics
Abstract We introduce a simple topological classification for the solitary-wave solutions of the coupled equations describing [Formula Presented] parametric waveguides. Both temporal and spatial cases are studied. Simultaneous solitary-wave solutions at two different frequencies, which we term “simultons,” are shown to exist using topological arguments. In each case, families of general one-parameter simultons are given numerically. Each family consists of both fundamental and higher-order simultons of a topological or nontopological nature. There are several possible ways to combine dispersions at different frequencies. Thus there are more possible ways of maintaining temporal simultons in 1+1 space-time than for purely spatial simultons in two space dimensions.
Q-Index Code C1
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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Created: Tue, 13 Sep 2016, 11:18:26 EST by System User