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nlin.SI2026
Exact Harmonic Dimensional Reduction and Conformal Lifting for Multicomponent Nonlinear Schrödinger Systems
O. V. Kaptsov
A harmonic dimensional reduction framework is developed for systems of coupled nonlinear Schrödinger-type equations with stationary transverse trapping potential…
nlin.SI2024
Symmetries of linear and nonlinear partial differential equations
Oleg Kaptsov
We consider higher symmetries and operator symmetries of linear partial differential equations. The higher symmetries form a Lie algebra, and operator ones form an associative alge…