Autoresonant soliton and decay pumping
Mathematical Physics
2013-01-30 v1 math.MP
Pattern Formation and Solitons
Abstract
The primary resonance equation in partial derivatives with external force and slowly varying frequency is derived. The leading-order term of asymptotic solution is constructed as a soliton with growing amplitude when time is large. This growing solution is obtained due to the decaying amplitude of the external force. A necessary condition for the growth of the solution in dissipative media is obtained also.
Keywords
Cite
@article{arxiv.1301.6885,
title = {Autoresonant soliton and decay pumping},
author = {O. M. Kiselev},
journal= {arXiv preprint arXiv:1301.6885},
year = {2013}
}
Comments
8 pages in Russian