Picture of a sphere with binary code

Making Strathclyde research discoverable to the world...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. It exposes Strathclyde's world leading Open Access research to many of the world's leading resource discovery tools, and from there onto the screens of researchers around the world.

Explore Strathclyde Open Access research content

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

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.