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

S.V. Suchkov, A. Khare show affiliations and emails
Received: 25 December 2011; Revised: 11 January 2012; Accepted: 11 January 2012
This paper is written in Russian
Citation: S.V. Suchkov, A. Khare. Soliton collision in discrete PT-symmetric systems without Peierls-Nabarro potential. Lett. Mater., 2011, 1(4) 222-225


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.


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).