Constructs a parametrized family of smooth finite-time blow-up solutions for the focusing Calogero-Sutherland derivative NLS on the circle with L2-mass in (1,2), explicit blow-up rate 1/(T-t)^{2s}, and describes the dynamics and instability.
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Continuum Calogero-Moser models are realized as Hamiltonian systems on L²₊ with mutually commuting conserved quantities, giving a new global well-posedness proof linked to symplectic nondegeneracy and the isoperimetric problem.
Constructs quantized blow-up solutions for CM-DNLS using nonlinear adapted derivative from Lax pair and conservation law hierarchy.
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Finite-time blow-up solutions for the Calogero--Sutherland derivative NLS
Constructs a parametrized family of smooth finite-time blow-up solutions for the focusing Calogero-Sutherland derivative NLS on the circle with L2-mass in (1,2), explicit blow-up rate 1/(T-t)^{2s}, and describes the dynamics and instability.
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The Hamiltonian formulation of continuum Calogero-Moser models
Continuum Calogero-Moser models are realized as Hamiltonian systems on L²₊ with mutually commuting conserved quantities, giving a new global well-posedness proof linked to symplectic nondegeneracy and the isoperimetric problem.
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Quantized blow-up dynamics for Calogero--Moser derivative nonlinear Schr\"odinger equation
Constructs quantized blow-up solutions for CM-DNLS using nonlinear adapted derivative from Lax pair and conservation law hierarchy.