Stability of Multidimensional Solitary Waves for Cubic-Quintic Nonlinearity

Kazuya HAYATA; Hiroyuki HIGAKI; Masanori KOSHIBA

doi:10.1007/s10043-995-0233-5

Kazuya HAYATA, Hiroyuki HIGAKI, Masanori KOSHIBA

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Keywords: optical soliton, spatial soliton, two-dimensionally self-trapped beam, cubic-quintic nonlinearity, stability analysis

JOURNAL FREE ACCESS

1995 Volume 2 Issue 4 Pages 233-235

DOI https://doi.org/10.1007/s10043-995-0233-5

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Abstract

We show analytically that in the presence of cubic and quintic nonlinearities above a certain critical power, multidimensional optical solitary waves could propagate stably in bulk media. To investigate the stability an analytical expression for the solitary-wave fields with an arbitrary transverse dimension is derived through the combined use of Galerkin's method and self-consistent-field approximation.

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