PMID: 15244796Jul 13, 2004Paper

Solutions for solitons in nonlinear optically induced lattices

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H J Shin

Abstract

We calculate stationary configurations of superposed states "soliton + cnoidal wave lattice" of the vector nonlinear Schrödinger equation, using the Darboux transformation technique. The obtained expressions contain the Jacobi elliptic and theta functions, and are easily manageable. There are five stationary configurations, in which one of the defocusing media is stable, while those of the focusing medium are classified into two weakly unstable and two unstable. The checking of the solutions as well as the construction of their typical shapes is accomplished with the help of symbolic package MATHEMATICA.

References

Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H J Shin
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nikos K EfremidisMordechai Segev
Feb 7, 2003·Physical Review Letters·Jason W FleischerDemetrios N Christodoulides
Mar 14, 2003·Nature·Jason W FleischerDemetrios N Christodoulides
May 16, 2003·Optics Letters·Dragomir NeshevWieslaw Krolikowski
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K W Chow, D W C Lai
Nov 13, 2003·Physical Review Letters·Anton S DesyatnikovCornelia Denz

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Citations

Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrey A Sukhorukov
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H J Shin
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H J Shin

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