Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 49, Issue -, Pages 30-38Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2017.01.022
Keywords
Energy density; phi(4) model; Kink's internal mode
Categories
Funding
- Institute for Metals Superplasticity Problems, Ufa, Russia
- Russian Science Foundation [16-12-10175]
- Russian Science Foundation [16-12-10175] Funding Source: Russian Science Foundation
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Recently for the sine-Gordon equation it has been established that during collisions of N slow kinks maximal energy density increases as N-2. In this numerical study, the same scaling rule is established for the non-integrable phi(4) model for N <= 5. For odd (even) N the maximal energy density is in the form of potential (kinetic) energy density. Maximal elastic strain is also calculated. In addition, the effect of the kink's internal modes on the maximal energy density is analysed for N = 1, 2, and 3. Our results suggest that in multi-soliton collisions very high energy density can be achieved in a controllable manner. (C) 2017 Elsevier B.V. All rights reserved.
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