Integrable operators, \(\bar{\partial}\)-problems, KP and NLS hierarchy
DOI10.1088/1361-6544/AD4B8EMaRDI QIDQ6566571
Giuseppe Orsatti, M. Bertola, Tamara Grava
Publication date: 3 July 2024
Published in: Nonlinearity (Search for Journal in Brave)
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) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudodifferential operators in several complex variables (32W25)
Cites Work
- Title not available (Why is that?)
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- Title not available (Why is that?)
- The dependence on the monodromy data of the isomonodromic tau function
- Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation
- The Widom--Dyson constant for the gap probability in random matrix theory
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- Fredholm determinants and the \(\tau\) function for the Kadomtsev- Petviashvili hierarchy
- Long-distance asymptotics of temperature correlators of the impenetrable Bose gas
- Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Reduction of soliton equations in bilinear form
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Fredholm determinants and inverse scattering problems
- Level-spacing distributions and the Airy kernel
- Integrable Fredholm operators and dual isomonodromic deformations
- Tau functions as Widom constants
- The Kontsevich-Penner matrix integral, isomonodromic tau functions and open intersection numbers
- General rational reductions of the KP hierarchy and their symmetries
- Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
- A fully noncommutative Painlevé II hierarchy: Lax pair and solutions related to Fredholm determinants
- Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations
- Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel
- The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system
- Quadrature identities and the Schottky double
- Brezin-Gross-Witten tau function and isomonodromic deformations
- The Malgrange form and Fredholm determinants
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Determinantal random point fields
- Tau Functions and their Applications
- On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
- General determinants and the tau function for the Kadomtsev-Petviashvili hierarchy
- The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights
- The D-bar method, inversion of certain integrals and integrability in 4 + 2 and 3 + 1 dimensions
- AKNS and NLS hierarchies, MRW solutions, P n breathers, and beyond
- Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory
- Fredholm determinant representation of the homogeneous Painlevé II τ-function
- KP governs random growth off a 1-dimensional substrate
- Dispersive Asymptotics for Linear and Integrable Equations by the ∂ ¯ $$\overline {\partial }$$ Steepest Descent Method
- The τ-function of the Ablowitz-Segur family of solutions to Painlevé II as a Widom constant
- Soliton Theory and Hankel Operators
- DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
- The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
- Operator Theory
- Traces and determinants of linear operators
- Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach
- Jánossy Densities and Darboux Transformations for the Stark and Cylindrical KdV Equations
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