The Calogero-Moser derivative nonlinear Schrödinger equation

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

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Explicit formula for the solution of the Szegö equation on the real line and applications
Translation invariant spaces
On the lowest eigenvalue of the Laplacian for the intersection of two domains
Stability of Coulomb systems with magnetic fields. I: The one-electron atom
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
Three integrable Hamiltonian systems connected with isospectral deformations
Completely integrable Hamiltonian systems connected with semisimple Lie algebras
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The nonlocal Liouville-type equation in \(\mathbb {R}\) and conformal immersions of the disk with boundary singularities
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The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited
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Uniqueness for the nonlocal Liouville equation in \(\mathbb{R}\)
Global well-posedness for the derivative nonlinear Schrödinger equation
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities
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Integrable hydrodynamics of Calogero–Sutherland model: bidirectional Benjamin–Ono equation
The initial-value problem for the Korteweg-de Vries equation
Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
Hamiltonian group actions and dynamical systems of calogero type
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A spectral transform for the intermediate nonlinear Schrödinger equation
On the Integrability of the <scp>Benjamin‐Ono</scp> Equation on the Torus
Multi-solitons of the half-wave maps equation and Calogero–Moser spin–pole dynamics