Results 51 to 60 of about 26,863 (194)

Optical solitons and their propagations in a time-varying coefficient modified nonlinear Schrödinger equation with non-zero boundary conditions via Riemann–Hilbert method

Results in Physics
In this article, a time-varying coefficient modified nonlinear Schrödinger equation (tvcmNLSE) with non-zero boundary conditions (NZBCs) at infinity, phase term of which contains time-varying coefficients, is proposed to describe the nonlinear ...
Xiuyan Wei, Yinan Chen, Sheng Zhang
doaj   +1 more source

An exactly solvable phase transition model: generalized statistics and generalized Bose-Einstein condensation

, 2009
In this paper, we present an exactly solvable phase transition model in which the phase transition is purely statistically derived. The phase transition in this model is a generalized Bose-Einstein condensation.
Baxter R J, Clunie J, Dai W-S, Dai W-S Xie M, Huang K, Kac M Cabib D Kuper C G Riess I, Khare A, Magnus W, Mi Xie, Muskhelishvili N I, Ruelle D, Wood D C, Wu-Sheng Dai   +12 more
core   +1 more source

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Cauchy Biorthogonal Polynomials

, 2009
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite-Pade' approximation scheme. Associated to any totally positive kernel and a pair of positive measures on the positive axis we define ...
Aptekarev, Aptekarev, Beals, Beals, Bertola, Bertola, Bertola, Bertola, Bertola, Bertola, Camassa, Cryer, Cryer, Degasperis, Duits, Ercolani, Eynard, Fidalgo Prieto, Gantmacher, J. Szmigielski, Jimbo, Karlin, Kuijlaars, Lundmark, Lundmark, M. Bertola, M. Gekhtman, Mehta, Nikishin, Nikišin, Sorokin, Sorokin, Sorokin, Van Assche   +33 more
core   +2 more sources

GENERALIZATION OF RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR A FIRST ORDER NONLINEAR COMPLEX PARTIAL DIFFERENTIAL EQUATION [PDF]

International Journal of Apllied Mathematics, 2016
Summary: In this paper we discuss on the existence and uniqueness solution of the Riemann-Hilbert boundary value problem in the form: \[ \begin{gathered}{\partial w\over\partial\overline z}= F\Biggl(z,w,{\partial w\over\partial z}\Biggr)+ G(z,w,\overline w),\qquad z\in D,\\ \text{Re}(a+ib)\,w=g\quad\text{on }\partial D\end{gathered} \] in \(C_{1,\alpha}
Taghizadeh, N., Hoseini, H.
openaire   +1 more source

Dissipative energy functionals of passive linear time‐varying systems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov functions, depending on the setting, are extremely valuable to analyze and control the behavior of dynamical systems, but in general circumstances they are very ...
Riccardo Morandin, Dorothea Hinsen
wiley   +1 more source

Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences

, 1997
The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twistor theory,
Boyer, Carroll, Dubrovin, Dubrovin, Gibbons, Gibbons, Gindikin, Hitchin, Hitchin, Jones, Kanehisa Takasaki, Kodama, Kodama, Kodama, Krichever, Krichever, Lebedev, Orlov, Partha Guha, Penrose, Takasaki, Takasaki, Takasaki, Takasaki, Takasaki, Takasaki, Takasaki, Takasaki, Tsarev, Ward, Zakharov   +30 more
core   +2 more sources

Quantum GraviElectro Dynamics

Annalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

The Riemann-Hilbert problem and the generalized Neumann kernel on unbounded multiply connected regions [PDF]

, 2021
Mohamed M. S. Nasser
openalex   +1 more source