Picture of neon light reading 'Open'

Discover open research at Strathprints as part of International Open Access Week!

23-29 October 2017 is International Open Access Week. The Strathprints institutional repository is a digital archive of Open Access research outputs, all produced by University of Strathclyde researchers.

Explore recent world leading Open Access research content this Open Access Week from across Strathclyde's many research active faculties: Engineering, Science, Humanities, Arts & Social Sciences and Strathclyde Business School.

Explore all Strathclyde Open Access research outputs...

Modulational instability of solitary waves in nondegenerate three-wave mixing: The role of phase symmetries

Skryabin, Dmitry V. and Firth, William J. (1998) Modulational instability of solitary waves in nondegenerate three-wave mixing: The role of phase symmetries. Physical Review Letters, 81 (16). pp. 3379-3382. ISSN 0031-9007

[img]
Preview
PDF (strathprints006465.pdf)
strathprints006465.pdf - Accepted Author Manuscript

Download (164kB) | Preview

Abstract

We show how the analytical approach of Zakharov and Rubenchik [Sov. Phys. JETP 38, 494 (1974)] to modulational instability (MI) of solitary waves in the nonlinear Schrödinger equation can be generalized for models with two phase symmetries. MI of three-wave parametric spatial solitons due to group velocity dispersion (GVD) is investigated as a typical example of such models. We reveal a new branch of neck instability, which dominates the usual snake type MI found for normal GVD. The resultant nonlinear evolution is thereby qualitatively different from cases with only a single phase symmetry.