Singular and regular gap solitons between three dispersion curves
نویسندگان
چکیده
منابع مشابه
Singular and regular gap solitons between three dispersion curves.
A general model is introduced to describe a wave-envelope system for the situation when the linear dispersion relation has three branches, which in the absence of any coupling terms between these branches, would intersect pairwise in three nearly coincident points. The system contains two waves with a strong linear coupling between them, to which a third wave is then coupled. This model has two...
متن کاملCuspons, peakons and regular gap solitons between three dispersion curves
A general model is introduced which describes a system with cubic nonlinearities, in a situation when the linear dispersion relation has three branches which nearly intersect. The system includes two waves with a strong linear coupling between them, to which a third wave is coupled. This model has two gaps in its linear spectrum. A nonlinear analysis is performed for zero-velocity solitons. If ...
متن کاملCuspon and regular gap solitons between three dispersion curves
A general model is introduced which describes a system with cubic nonlinearities, in a situation when the linear dispersion relation has three branches which nearly intersect. The system consists of two waves with a strong linear coupling between them, to which a third wave is coupled. This model has are two gaps in its linear spectrum. A nonlinear analysis is performed for zero-velocity solito...
متن کاملThe Gap between Unbounded Regular Operators
We study and compare the gap and the Riesz topologies of the space of all unbounded regular operators on Hilbert C*-modules. We show that the space of all bounded adjointable operators on Hilbert C*-modules is an open dense subset of the space of all unbounded regular operators with respect to the gap topology. The restriction of the gap topology on the space of all bounded adjointable operator...
متن کاملGap-solitons in a three-layered stratified flow
In this paper, we give an explicit asymptotic construction of a class of solitary waves, widely known as gap-solitons in other physical contexts, for a certain three-layered fluid flow. The essential ingredients are the existence of a spectral gap between two branches of the dispersion relation, and the development of a set of envelope equations to describe weakly nonlinear waves, whose carrier...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2002
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.65.066606