Results 51 to 60 of about 2,696,066 (112)
On the Liouville transformation and exactly-solvable Schrodinger equations [PDF]
arXiv, 1997 The present article discusses the connection between exactly-solvable Schrodinger equations and the Liouville transformation. This transformation yields a large class of exactly-solvable potentials, including the exactly-solvable potentials introduced by Natanzon. As well, this class is shown to contain two new families of exactly solvable potentials.
arxiv
A nonrelativistic limit for AdS perturbations [PDF]
, 2018 The familiar $c\rightarrow \infty$ nonrelativistic limit converts the Klein-Gordon equation in Minkowski spacetime to the free Schroedinger equation, and the Einstein-massive-scalar system without a cosmological constant to the Schroedinger-Newton (SN ...
Bizon, Piotr, Evnin, Oleg, Ficek, Filip
core +2 more sources
Singularity Structure Analysis, Integrability, Solitons and Dromions in (2+1)-Dimensional Zakharov Equations [PDF]
arXiv, 1999 The (2+1)-dimensional integrable Zakharov equations and their reductions are ...
arxiv
Solitons, Surfaces, Curves, and the Spin Description of Nonlinear Evolution Equations [PDF]
arXiv, 1998 The briefly review on the common spin description of the nonlinear evolution equations.
arxiv
Solution of quantum integrable systems from quiver gauge theories
Journal of High Energy Physics, 2017 We construct new integrable systems describing particles with internal spin from four-dimensional N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
N. Dorey, Peng Zhao
semanticscholar +1 more source
Modified KP and Discrete KP [PDF]
arXiv, 1999 The discrete KP, or 1-Toda lattice hierarchy is the same as a properly defined modified KP hierarchy.
arxiv
A Realization of Discrete Geometry by String Model [PDF]
arXiv, 1998 A realization of discrete conjugate net is presented by using correlation functions of strings in a gauge covariant form.
arxiv
Integrability of the Gibbons--Tsarev system [PDF]
arXiv, 2007 A new approach extracting multi-parametric hydrodynamic reductions for the integrable hydrodynamic chains is presented. The Benney hydrodynamic chain is considered.
arxiv
, 2015 The action of a B\"acklund-Darboux transformation on a spectral problem associated with a known integrable system can define a new discrete spectral problem.
Tsuchida, Takayuki
core