Localization and Coherent Structures in Wave Dynamics via Multiresolution
Antonina N. Fedorova, Michael G. Zeitlin
Abstract
We apply variational-wavelet approach for constructing multiscale high-localized eigenmodes expansions in different models of nonlinear waves. We demonstrate appearance of coherent localized structures and stable pattern formation in different collective dynamics models.
Create a lesson
Related papers
Solitons in the nonlinear Schrödinger equation with the pseudo-Raman term, anti-diffusion gain and nonlinear loss
Evgeny M. Gromov, Boris A. Malomed
A theory for detecting the Turing instability on static and temporal multiplex networks
Joshua Ritchie
Multistability and Juggling States in Frustrated Kuramoto Oscillators on Ring Networks
Guilherme S. Costa, Ricardo Fariello, Marcus A. M. de Aguiar
Whitham modulation theory for the Davey-Stewartson system and stability analysis of its periodic traveling wave solutions
Gino Biondini, Alexander Chernyavsky, Haodong Lin et al.
Soliton dynamics in the Gardner-Ostrovsky equation
R. Fariello, M. S. Soares, Y. A. Stepanyants
Persistence of kinks in the NLS equation with competing nonlinearities
P. G. Kevrekidis, D. E. Pelinovsky