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Computationally determined existence and stability of transverse structures II: Multipeaked cavity solitons

Firth, W.J. and McSloy, J.M. and Harkness, G.K. and Oppo, G.L. (2002) Computationally determined existence and stability of transverse structures II: Multipeaked cavity solitons. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 66 (4). 046606-046614. ISSN 1063-651X

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Abstract

We apply quasi-exact numerical techniques to the calculation of stationary one- and two-dimensional, bound multipeaked cavity soliton solutions of a model describing a saturable absorber in a driven optical cavity. We calculate the existence and stability domains of a wide range of such states and determine the perturbative eigenmodes that cause loss of stability. We relate the existence of N-peaked states to the locking range between patterned and homogeneous solutions, as a function of two parameters.