TY - JOUR

T1 - Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component

AU - Borovkova, O. V.

AU - Malomed, B. A.

AU - Kartashov, Y. V.

PY - 2010/12

Y1 - 2010/12

N2 - The subject of the work is the stabilization of two-dimensional (2D) two-component (vector) solitons, in media with the attractive cubic nonlinearity, against the collapse by a linear lattice (LL, which is induced by a periodic modulation of the refractive index in optics, or created as an optical lattice in BEC), or by a nonlinear lattice (NL, induced by a periodic modulation of the nonlinearity coefficient). We demonstrate that, due to the XPM (cross-phase-modulation) coupling between the components, the LL or NL acting on a single component is sufficient for the stabilization of vector solitons, that include a component for which the self-focusing medium is uniform. In the case of the LL, the vector solitons are stable almost in their entire existence domain, while the NL can only stabilize the solitons in which the component affected by the lattice carries a norm which is comparable to, or larger than the norm of the component in the uniform medium.

AB - The subject of the work is the stabilization of two-dimensional (2D) two-component (vector) solitons, in media with the attractive cubic nonlinearity, against the collapse by a linear lattice (LL, which is induced by a periodic modulation of the refractive index in optics, or created as an optical lattice in BEC), or by a nonlinear lattice (NL, induced by a periodic modulation of the nonlinearity coefficient). We demonstrate that, due to the XPM (cross-phase-modulation) coupling between the components, the LL or NL acting on a single component is sufficient for the stabilization of vector solitons, that include a component for which the self-focusing medium is uniform. In the case of the LL, the vector solitons are stable almost in their entire existence domain, while the NL can only stabilize the solitons in which the component affected by the lattice carries a norm which is comparable to, or larger than the norm of the component in the uniform medium.

UR - http://www.scopus.com/inward/record.url?scp=84857804211&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/92/64001

DO - 10.1209/0295-5075/92/64001

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AN - SCOPUS:84857804211

SN - 0295-5075

VL - 92

JO - Journal de Physique (Paris), Lettres

JF - Journal de Physique (Paris), Lettres

IS - 6

M1 - 64001

ER -