|
This article is cited in 1 scientific paper (total in 1 paper)
Soliton-like excitations in weakly dispersive media
A. S. Kovalevab a Verkin Institute for Low Temperature Physics and
Engineering, National Academy of Sciences of Ukraine, Kharkov, Ukraine
b Karazin Kharkiv National University, Kharkov, Ukraine
Abstract:
We consider the question of the possible existence of two-parameter envelope solitons in weakly dispersive media with an acoustic spectrum of linear waves. We propose an asymptotic procedure for finding such soliton solutions in the one-dimensional case and demonstrate the proposed method in the example of the modified Boussinesq equation. We study the question of nonlinear multidimensional localization of excitations in weakly dispersive media with an acoustic spectrum of linear waves.
Keywords:
linear wave dispersion law, nonlinear wave, envelope soliton,
Fourier series, power series expansion, asymptotic expansion.
Received: 06.10.2020 Revised: 03.11.2020
Citation:
A. S. Kovalev, “Soliton-like excitations in weakly dispersive media”, TMF, 206:3 (2021), 384–399; Theoret. and Math. Phys., 206:3 (2021), 335–348
Linking options:
https://www.mathnet.ru/eng/tmf9991https://doi.org/10.4213/tmf9991 https://www.mathnet.ru/eng/tmf/v206/i3/p384
|
|