Compacton-like solutions of the hydrodynamic system describing relaxing media
نویسندگان
چکیده
منابع مشابه
Compacton-like solutions of the hydrodynamic system describing relaxing media
We show the existence of a compacton-like solutions within the relaxing hydrodynamic-type model and perform numerical study of attracting features of these solutions
متن کاملCompacton-like solutions to some nonlocal hydrodynamic-type model
We study the appearance of compacton-like solutions within the hydrodynamic-type model taking into account effects of spatial non-locality PACS codes: 02.30.Jr; 47.50.Cd; 83.10.Gr
متن کاملOn the Stability of the Compacton Solutions
The stability of the recently discovered compacton solutions is studied by means of both linear stability analysis as well as Lyapunov stability criteria. From the results obtained it follows that, unlike solitons, all the allowed compacton solutions are stable, as the stability condition is satisfied for arbitrary values of the nonlinearity parameter. The results are shown to be true even for ...
متن کاملModelling System for Relaxing Media. Symmetry, Restrictions and Attractive Features of Invariant Solutions
A model describing non-equilibrium processes in relaxing media is considered. Restrictions arising from the symmetry principles and the second law of thermodynamics are stated. System of ODE describing a set of travelling wave solutions is obtained via group theory reduction. Bifurcation analysis of this system reveals the existence of periodic invariant solutions as well as limiting to them so...
متن کاملSpectral Stability of Stationary Solutions of a Boussinesq System Describing Long Waves in Dispersive Media
We study the spectral (in)stability of one-dimensional solitary and cnoidal waves of various Boussinesq systems. These systems model three-dimensional water waves (i.e., the surface is two-dimensional) with or without surface tension. We present the results of numerous computations examining the spectra related to the linear stability problem for both stationary solitary and cnoidal waves with ...
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: Reports on Mathematical Physics
سال: 2008
ISSN: 0034-4877
DOI: 10.1016/s0034-4877(08)80020-1