Soliton collision in discrete PT-symmetric systems without Peierls-Nabarro potential

S.V. Suchkov1, A. Khare2
1Institute for Metals Superplasticity Problems RAS, Khalturin St. 39, 450001 Ufa
2Indian Institute of Science Education and Research, Pune, Maharashtra 411021, India
Abstract
Discrete model describing a waveguide array system with energy gain and loss that admits exact solitary wave solutions was considered. Existence of two types of solitons, namely, the high-frequency and the low-frequency ones was demonstrated. Collisions between similar and dissimilar solitons were investigated. It was found that solitons of the same type interact elastically, while for dissimilar solitons the collision outcome significantly depends on the initial conditions.
Received: 25 December 2011   Revised: 11 January 2012   Accepted: 11 January 2012
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References
1.
C.M. Bender and S. Boettcher. Phys. Rev. Lett. 80, 5243(1998).
2.
C. M. Bender. Rep. Prog. Phys. 70, 947 (2007).
3.
S.V. Dmitriev, S.V. Suchkov, A.A. Sukhorukov, Yu.S.Kivshar. Phys. Rev. A84, 013833 (2011).
4.
S.V. Suchkov, B.A. Malomed, S.V. Dmitriev, Yu.S.Kivshar. Phys. Rev. E84, 046609 (2011).
5.
S.V. Dmitriev, A.A. Sukhorukov, and Yu.S. Kivshar.Opt. Lett. 35, 2976–2978 (2010).
6.
S.V. Dmitriev, P.G. Kevrekidis, A. Khare, A.J. Saxena.Physics A: Math. Theor. 40, 6267 (2007).
7.
S.V. Dmitriev, N. Yoshikawa, P.G. Kevrekidis. J. Phys.A: Math. Gen. 39, 7217 (2006).
8.
I. Roy, P.G. Kevrekidis, A. Saxena, S.V. Dmitriev. Phys.Rev. E76, 026601 (2007).
9.
S.V. Dmitriev, P.G. Kevrekidis, A.A. Sukhorukov, N.Yoshikawa, S. Takeno. Phys. Lett. A356, 324 (2006).
10.
P.G. Kevrekidis, S.V. Dmitriev, A.A. Sukhorukov.Mathematics and Computers in Simulation 74, 343(2007).
11.
S.V. Dmitriev, D.A. Semagin, T. Shigenari, A.A.Sukhorukov. Phys. Rev. E66, 046609 (2002).
12.
S.V. Dmitriev, T. Shigenari. Chaos. 12, 324 (2002).
13.
S.V. Dmitriev, Y.S. Kivshar, T. Shigenari. Phys. Rev. E64, 056613 (2001).
14.
S.V. Dmitriev, P.G. Kevrekidis, B.A. Malomed, D.J.Frantzeskakis. Phys. Rev. E68, 566031 (2003).
15.
S.V. Dmitriev, P.G. Kevrekidis, Yu.S. Kivshar. Phys.Rev. E78, 046604 (2008).