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Reflection solitons supported by competing nonlinear gratings (Articolo in rivista)

Type

Label

Reflection solitons supported by competing nonlinear gratings (Articolo in rivista) (literal)

Anno

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Alternative label

Rizza, C; Ciattoni, A; Delre, E (2008)
Reflection solitons supported by competing nonlinear gratings
in Physical review. A
(literal)

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Rivista

Note

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\"[Rizza, C.; Ciattoni, A.] Univ Aquila, Dipartimento Fis, I-67100 Laquila, Italy; [Rizza, C.] Univ Roma La Sapienza, CNR, INFM, SOFT, I-00185 Rome, Italy; [Ciattoni, A.] CNR, CASTI Reg Lab, I-67100 Laquila, Italy; [DelRe, E.] Univ Aquila, Dipartimento Ingn Elettr & Informaz, I-67100 Laquila, Italy (literal)

Titolo

Abstract

We analytically investigate solitons counterpropagating in a longitudinally modulated Kerr medium by means of the Hirota bilinear approach. We show that Hirota solvability (partial integrability of the system) physically corresponds to the exact mutual cancellation of the effects of all the underlying nonlinear gratings. This cancellation is achieved in two different situation: either through a suitable choice of the field profile or by means of a peculiar tailoring of the nonlinear modulation. In the first situation we obtain both bright and dark one-soliton solutions whose intensity ratio between forward and backward propagating beams is set by the nonlinear modulation. In the second situation, we derive two-soliton solutions obtained by nonlinearly dressing two independent linear grating eigenmodes sharing the same propagation constant. (literal)

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