Results 51 to 60 of about 4,529 (186)
On tau functions associated with linear systems [PDF]
, 2012 \noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Samantha L. Newsham +3 more
core
Solving bi-directional soliton equations in the KP hierarchy by gauge transformation [PDF]
, 2006 We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy.
Cheng, Yi +4 more
core +1 more source
Robot‐Assisted Reconstruction and Control of the Pechmann Reaction Network
Angewandte Chemie, Volume 138, Issue 6, 2 February 2026.Using an in‐house built robotic platform, we systematically explored the classic Pechmann reaction across a wide range of reaction conditions, uncovering a rich and previously unexplored network of reactivity. This approach led to the discovery of 11 novel products, including rare benzofurans formed through non‐classical pathways.
Bibek Prajapati +8 more
wiley +2 more sources
Computing the Solutions of the Combined Korteweg-de Vries Equation by Turing Machines [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 In this paper, we study the computability of the initial value problem of the Combined KdV equation. It is shown that, for any integer s>2, the nonlinear solution operator which maps an initial condition data to the solution of the Combined KdV ...
Dianchen Lu, Qingyan Wang, Rui Zheng
doaj +1 more source
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 7068-7081, 15 May 2026.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley +1 more source
An Explicit Construction of Kaleidocycles by Elliptic Theta Functions
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT We study a configuration space consisting of ordered points on the two‐dimensional sphere satisfying a system of quadratic constraints. We construct explicit periodic orbits in the configuration space using elliptic theta functions. The constructed orbits simultaneously satisfy semi‐discrete analogues of the modified KdV and sine‐Gordon ...
Shizuo Kaji +2 more
wiley +1 more source
Four Symmetries of the KdV equation
, 2023 We revisit the symmetry structure of integrable PDEs, looking at the specific example of the KdV equation. We identify 4 nonlocal symmetries of KdV depending on a parameter, which we call generating symmetries.
Rasin, Alexander G., Schiff, Jeremy
core +1 more source
European Law Journal, Volume 32, Issue 1, Page 144-161, April 2026.ABSTRACT Seeing the EU roughly as a political system designed to remove the most essential political decisions from democratic control, while in a large part abiding by legal frameworks, we could speak about an opposition between technocratic legalism and democracy.
Dimitry V. Kochenov +1 more
wiley +1 more source
Source code for KdV Equation and Computations of Solitons: kdv-compact
, 2018 <p>Latex sources, figures and Fortran codes used to publish <a href="https://doi.org/10.1007/s10915-014-9875-4">KdV Equation and Computations of Solitons: Nonlinear Error Dynamics</a>.
Sengupta, Tapan K. (8167713) +3 more
core +1 more source
The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley +1 more source