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arXiv · 2607.16435

Two-color solitons in Kerr third harmonic generation model

Alexey Sukhinin·Curtis Menyuk·Natalia Litchinitser·Jean-Claude Diels·Alejandro B Aceves
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Abstract

We investigate two-color, two dimensional spatially localized light modes in a resonant Kerr third-harmonic generation model. Using computational tools, we identify two distinct families of localized states. Unlike the single-component 2D nonlinear Schr\"odinger equation and previously studied non-resonant two-color systems, the dynamics are not dictated by a universal critical power, but depend on the distribution of power between the harmonics. The "fundamental-dominated" family acts as a "dynamical separatrix" between simultaneous collapse and joint diffraction, whereas the "third-harmonic-dominated" family does not. We further identify resonant collapse events accompanied by strong oscillations of the third harmonic, revealing a collapse mechanism absent from standard Kerr self-focusing.

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Alexey Sukhinin, Curtis Menyuk, Natalia Litchinitser, Jean-Claude Diels, Alejandro B Aceves. 2026-07-17. Two-color solitons in Kerr third harmonic generation model. https://arxiv.org/abs/2607.16435

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