Journal article
Asymptotic theory of plane soliton self-focusing in two-dimensional wave media
Abstract
An asymptotic method is developed to describe a long-term evolution of unstable quasi-plane solitary waves in the Kadomtsev-Petviashvili model for two-dimensional wave media with positive dispersion. An approximate equation is derived for the parameters of soliton transversal modulation and a general solution of this equation is found in an explicit form. It is shown that the development of periodic soliton modulation, in an unstable region, …
Authors
Gorshkov KA; Pelinovsky DE
Journal
Physica D Nonlinear Phenomena, Vol. 85, No. 4, pp. 468–484
Publisher
Elsevier
Publication Date
August 1995
DOI
10.1016/0167-2789(95)00182-4
ISSN
0167-2789