Abbreviated Journal Title
Phys. Rev. E
WAVE-GUIDE ARRAYS; OPTICAL SOLITONS; BRIGHT SOLITONS; FUSED-SILICA; EQUATION; STABILITY; STATES; Physics, Fluids & Plasmas; Physics, Mathematical
We present stable bright solitons built of coupled unstaggered and staggered components in a symmetric system of two discrete nonlinear Schrodinger equations with the attractive self-phase-modulation nonlinearity, coupled by the repulsive cross-phase-modulation interaction. These mixed modes are of a "symbiotic" type, as each component in isolation may only carry ordinary unstaggered solitons. The results are obtained in an analytical form, using the variational and Thomas-Fermi approximations (VA and TFA), and the generalized Vakhitov-Kolokolov (VK) criterion for the evaluation of the stability. The analytical predictions are verified against numerical results. Almost all the symbiotic solitons are predicted by the VA quite accurately and are stable. Close to a boundary of the existence region of the solitons (which may feature several connected branches), there are broad solitons which are not well approximated by the VA and are unstable.
Physical Review E
Malomed, Boris A.; Kaup, D. J.; and Van Gorder, Robert A., "Unstaggered-staggered solitons in two-component discrete nonlinear Schrodinger lattices" (2012). Faculty Bibliography 2010s. 2994.