Wednesday, January 30, 2013

1301.6885 (O. M. Kiselev)

Autoresonant soliton and decay pumping    [PDF]

O. M. Kiselev
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.
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