The work shows existence and stability of single dark solitons in the fractional NLS equation, identifies unstable branches of two-soliton solutions with oscillatory or exponential instabilities, and finds associated breathing periodic orbits along with effective ODE models for their interactions.
Qureshi, Chaos, Solitons & Fractals134, 109744 (2020)
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Dark solitons in the fractional NLS equation
The work shows existence and stability of single dark solitons in the fractional NLS equation, identifies unstable branches of two-soliton solutions with oscillatory or exponential instabilities, and finds associated breathing periodic orbits along with effective ODE models for their interactions.