172 citations · 3.5k across the 115 of their papers we have counts for
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Position-dependent mass, finite-gap systems, and supersymmetry
Rafael Bravo, Mikhail S. Plyushchay
The ordering problem in quantum systems with position-dependent mass (PDM) is treated by inclusion of the classically fictitious similarity transformation into the kinetic term. Th…
Chiral asymmetry in propagation of soliton defects in crystalline backgrounds
Adrian Arancibia, Mikhail S. Plyushchay
By applying Darboux-Crum transformations to a Lax pair formulation of the Korteweg-de Vries (KdV) equation, we construct new sets of multi-soliton solutions to it as well as to the…
-symmetric invisible defects and confluent Darboux-Crum transformations
Francisco Correa, Vit Jakubsky, Mikhail S. Plyushchay
We show that confluent Darboux-Crum transformations with emergent Jordan states are an effective tool for the design of optical systems governed by the Helmholtz equation under the…