Dissipative three-wave structures in stimulated backscattering. I. A subluminous solitary attractor
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1997-01-01
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Montes, Carlos
Mikhailov, Alexander
Picozzi, Antonio
Ginovart, Frédéric [UNESP]
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We present a solitary solution of the three-wave nonlinear partial differential equation (PDE) model - governing resonant space-time stimulated Brillouin or Raman backscattering - in the presence of a cw pump and dissipative material and Stokes waves. The study is motivated by pulse formation in optical fiber experiments. As a result of the instability any initial bounded Stokes signal is amplified and evolves to a subluminous backscattered Stokes pulse whose shape and velocity are uniquely determined by the damping coefficients and the cw-pump level. This asymptotically stable solitary three-wave structure is an attractor for any initial conditions in a compact support, in contrast to the known superluminous dissipative soliton solution which calls for an unbounded support. The linear asymptotic theory based on the Kolmogorov-Petrovskii-Piskunov assertion allows us to determine analytically the wave-front slope and the subluminous velocity, which are in remarkable agreement with the numerical computation of the nonlinear PDE model when the dynamics attains the asymptotic steady regime. © 1997 The American Physical Society.
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Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 55, n. 1 SUPPL. B, p. 1086-1091, 1997.