Author:
Lima Fred C.,Simas Fabiano C.,Nobrega K. Z.,Gomes Adalto R.
Abstract
Abstract
We study the non-integrable 𝜙6 model on the half-line. The model has two topological sectors. We chose solutions from just one topological sector to fix the initial con ditions. The scalar field satisfies a Neumann boundary condition 𝜙
x
(0, t) = H. We study the scattering of a kink (antikink) with all possible regular and stable boundaries. For H = 0 the results are the same observed for scattering for the same model in the full line. For H ≠ 0, sensible modifications appear in the dynamics with several possibilities for the output depending on the initial velocity and the boundary. Our results are confronted with the topological structure and linear stability analysis of kink, antikink and boundary solutions.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference71 articles.
1. T. Dauxois and M. Peyrard, Physics of solitons, Cambridge University Press, Cambridge, U.K. (2006).
2. E.J. Weinberg, Classical solutions in quantum field theory, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge, U.K. (2012).
3. W.B. Cardoso, J. Zeng, A.T. Avelar, D. Bazeia and B.A. Malomed, Bright solitons from the nonpolynomial Schrödinger equation with inhomogeneous defocusing nonlinearities, Phys. Rev.E 88 (2013) 025201.
4. T. Vachaspati, Kinks and domain walls, Cambridge Univ. Press, Cambridge, U.K. (2006).
5. J. Braden, J.R. Bond and L. Mersini-Houghton, Cosmic bubble and domain wall instabilities I: parametric amplification of linear fluctuations, JCAP03 (2015) 007 [arXiv:1412. 5591] [INSPIRE].
Cited by
24 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献