304 citations · 9.7k across the 421 of their papers we have counts for
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Orbital stability of kinks in the NLS equation with competing nonlinearities
Justin Holmer, Panayotis G. Kevrekidis, Dmitry E. Pelinovsky
Kinks connecting zero and nonzero equilibria in the NLS equation with competing nonlinearities occur at the special values of the frequency parameter. Since they are minimizers of…
Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets
Sun Lee, Panayotis G. Kevrekidis, Wenrui Hao
In this work, we are motivated by a recent variant of the nonlinear Schrodinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal…
Stability theory of flat band solitons in nonlinear wave systems
Cheng Shi, Ross Parker, Panayotis G. Kevrekides +1
We establish a sharp criterion for the stability of a class of compactly supported, homogeneous density``minimal compact solitons'' or MCS states, of the time-dependent discrete no…
Dispersive shock waves in periodic lattices
Su Yang, Sathyanarayanan Chandramouli, Panayotis G. Kevrekidis
We introduce and systematically investigate the generation of dispersive shock waves, which arise naturally in physical settings such as optical waveguide arrays and superfluids co…
Observation of vector rogue waves in repulsive three-component atomic mixtures
G. A. Bougas, G. C. Katsimiga, S. Mossman +3
Rogue waves are extreme evanescent nonlinear structures that are challenging to observe in atomic gases, as their emergence requires a dynamically unstable attractive environment.…
Data-driven Soliton Manifold Approximations for Dark and Bright Waves: Some Prototypical 1d Case Examples
Su Yang, Shaoxuan Chen, Wei Zhu +1
In this paper, we revisit the investigation of solitary-wave interactions in the nonlinear Schrödinger model, both in the presence and absence of a parabolic trapping potential. Wh…