Establishes local well-posedness in H^s(T) for s ≥ 1/2 and global well-posedness under small L^2 norm for periodic INLS using gauge transform and CCM integrability, plus unconditional energy-space results and infinite-depth convergence.
Soliton resolution for Calogero-Moser derivative nonlinear Schr\"odinger equation, arXiv preprint arXiv:2408.12843, (2024)
4 Pith papers cite this work. Polarity classification is still indexing.
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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.
Constructs quantized blow-up solutions for CM-DNLS using nonlinear adapted derivative from Lax pair and conservation law hierarchy.
Explicit L^∞ asymptotic error formulas are established for the soliton resolution of the Benjamin-Ono equation in finite- and infinite-order multisoliton regimes.
citing papers explorer
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Well-posedness for the periodic Intermediate nonlinear Schr\"{o}dinger equation
Establishes local well-posedness in H^s(T) for s ≥ 1/2 and global well-posedness under small L^2 norm for periodic INLS using gauge transform and CCM integrability, plus unconditional energy-space results and infinite-depth convergence.
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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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Soliton resolution conjecture for the Benjamin-Ono equation: Explicit $L^\infty$ asymptotic error formula
Explicit L^∞ asymptotic error formulas are established for the soliton resolution of the Benjamin-Ono equation in finite- and infinite-order multisoliton regimes.