Inelastic Scattering and Interactions of Three-Wave Parametric Solitons

Abstract

We study the excitation, decay and interactions of novel, velocity locked three-wave parametric solitons in a medium with quadratic nonlinearity and dispersion. We analytically describe the particle-like scattering between stable or unstable soliton triplets with linear waves in terms of explicit solutions featuring accelerated or decelerated solitons.

References in corpus (1)

• Stable Control of Pulse Speed in Parametric Three-Wave Solitons

Cited by in corpus (7)

• Deterministic Vector Freak Waves
• Baseband Modulation Instability as the Origin of Rogue Waves
• Multicomponent integrable wave equations II: Soliton solutions
• Velocity-locked solitary waves in quadratic media
• Parametric Frequency Conversion of Short Optical Pulses Controlled by a CW Background
• Semirational and symbiotic self-similar rogue waves in a (2+1)-dimensional graded-index waveguide
• Resonant solitons from the $3\times 3$ operator