Skip to Main Content

Access Provided by Xinjiang University

Physical Review E

Rapid Communication
Access by Xinjiang University

Stabilization of vector soliton complexes in nonlocal nonlinear media

Zhiyong Xu, Yaroslav V. Kartashov^*, and Lluis Torner

ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain

^*On leave from Physics Department, M. V. Lomonosov Moscow State University, Russia.

Phys. Rev. E 73, 055601(R) – Published 19 May, 2006

DOI: https://doi.org/10.1103/PhysRevE.73.055601

Abstract

We introduce vector soliton complexes in nonlocal Kerr-type nonlinear media. We discover that under proper conditions the combination of nonlocality and vectorial coupling has a remarkable stabilizing action on multihumped solitons. In particular, we find that stable bound states featuring several field oscillations in each soliton component do exist. This affords stabilization of vector soliton trains incorporating a large number of humps, a class of structures known to self-destroy via strong instabilities in scalar settings.

Article Text

References (21)

M. R. Matthews et al., Phys. Rev. Lett. 83, 2498 (1999); J. Williams and M. Holland, Nature (London) 401, 568 (1999).
T. Busch and J. R. Anglin, Phys. Rev. A 60, R2669 (1999); J. J. Garcia-Ripoll et al., ibid. 61, 053609 (2000).
S. V. Manakov, Sov. Phys. JETP 38, 248 (1974); D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 53 (1988); J. U. Kang et al., Phys. Rev. Lett. 76, 3699 (1996); N. Akhmediev et al., ibid. 81, 4632 (1998).
A. W. Snyder et al., Phys. Rev. Lett. 72, 1012 (1994).
M. Mitchell et al., Phys. Rev. Lett. 80, 4657 (1998); G. I. Stegeman and M. Segev, Science 286, 1518 (1999); E. A. Ostrovskaya et al., Phys. Rev. Lett. 83, 296 (1999); C. Cambournac et al., ibid. 89, 083901 (2002); J. Yang, Physica D 108, 92 (1997); D. E. Pelinovsky and J. Yang, Stud. Appl. Math. 115, 109 (2005).
S. Darmanyan et al., Phys. Rev. E 57, 3520 (1998); O. Cohen et al., Phys. Rev. Lett. 91, 113901 (2003); A. A. Sukhorukov and Y. S. Kivshar, ibid. 91, 113902 (2003); Y. V. Kartashov et al., Phys. Rev. E 70, 066623 (2004).
A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
W. Krolikowski et al., Phys. Rev. E 64, 016612 (2001); J. Wyller et al., ibid. 66, 066615 (2002); W. Krolikowski et al., J. Opt. B: Quantum Semiclassical Opt. 6, S288 (2004); M. Peccianti et al., Phys. Rev. E 68, 025602(R) (2003).
S. K. Turitsyn, Theor. Math. Phys. 64, 797 (1985); O. Bang et al., Phys. Rev. E 66, 046619 (2002).
W. Krolikowski et al., Phys. Rev. E 70, 036617 (2004).
D. Briedis et al., Opt. Express 13, 435 (2005); A. Yakimenko et al., Phys. Rev. E 71, 065603(R) (2005).
G. C. Duree et al., Phys. Rev. Lett. 71, 533 (1993); A. V. Mamaev et al., Phys. Rev. A 56, R1110 (1997); D. Neshev et al., Opt. Lett. 26, 1185 (2001).
J. P. Gordon et al., J. Appl. Phys. 36, 3 (1965); C. Rotschild et al., Phys. Rev. Lett. 95, 213904 (2005).
M. Peccianti et al., Opt. Lett. 27, 1460 (2002); M. Peccianti, C. Conti, and G. Assanto, 28, 2231 (2003); C. Conti et al., Phys. Rev. Lett. 92, 113902 (2004).
A. G. Litvak et al., Sov. J. Plasma Phys. 1, 31 (1975).
L. Santos et al., Phys. Rev. Lett. 85, 1791 (2000); V. M. Perez-Garcia et al., Phys. Rev. E 62, 4300 (2000); D. H. J. O’Dell et al., Phys. Rev. Lett. 92, 250401 (2004).
I. A. Kolchugina et al., JETP Lett. 31, 304 (1980); V. A. Mironov et al., Sov. Phys. Dokl. 26, 861 (1981); N. I. Nikolov et al., Opt. Lett. 29, 286 (2004).
Z. Xu et al., Opt. Lett. 30, 3171 (2005).
N. G. Berloff, Phys. Rev. Lett. 94, 120401 (2005); J. Stuhler et al., ibid. 95, 150406 (2005); P. Pedri and L. Santos, ibid. 95, 200404 (2005).
E. A. Ultanir et al., Phys. Rev. Lett. 90, 253903 (2003).
M. A. Baranov et al., Phys. Rev. Lett. 94, 070404 (2005); E. H. Rezayi et al., ibid. 95, 160404 (2005).