Results 31 to 40 of about 22,025,942 (161)

Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester, Anas A. Rahman, Bo‐Jian Shen   +2 more
wiley   +1 more source

Painlevé-Kuratowski convergence for set optimization solutions using improvement sets

Applied Mathematics in Science and Engineering
This paper investigates the Painlevé-Kuratowski convergence of solution sets in set optimization problems under perturbations. By introducing the notion of [Formula: see text]-[Formula: see text]-Strictly quasiconvexity for set-valued mappings, we ...
Taiyong Li, Manli Yang
doaj   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Painlevé analysis and optical solitons for a concatenated model

, 2023
This paper conducts Painlevé analysis to a concatenated model that stems from the well-known nonlinear Schrödinger's equation, Lakshmanan–Porsezian–Daniel model and Sasa–Satsuma equation.
Nikolay A. Kudryashov, Kudryashov, Nikolai A., Biswas, Anjana, Hashim M. Alshehri, Borodina, Agniya G., Yıldırım, Yakup, Agniya G. Borodina, Yakup Yıldırım, Alshehri, Hashim M., Anjan Biswas   +9 more
core   +1 more source

Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System

Advances in Mathematical Physics, 2020
In this article, we mainly apply the nonlocal residual symmetry analysis to a (2 + 1)-dimensional strongly coupled Burgers system, which is defined by us through taking values in a commutative subalgebra.
Haifeng Wang, Yufeng Zhang
doaj   +1 more source

Isotopy and equivalence of knots in 3‐manifolds

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto, Corey Bregman, Christopher W. Davis, JungHwan Park, Arunima Ray   +4 more
wiley   +1 more source

Restricted multiple three-wave interactions: Painlevé analysis

, 1983
Restricted multiple three-wave interactions, in which a set of wave triads interact through one shared wave, are discussed. The integrability of this system is explored through the use of Painlevé analysis.
Chen, H. H., Lee, Y. C., Menyuk, Curtis
core   +1 more source

Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation

Open Physics, 2015
Based on the bosonization approach, the N = 1 supersymmetric Burgers (SB) system is transformed to a coupled pure bosonic system. The Painlevé property and the Bäcklund transformations (BT) of the bosonized SB (BSB) system are obtained through standard ...
Ren Bo
doaj   +1 more source

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source

The Painlevé Analysis Of The Zakharov-Kuznetsov Equation

, 1990
In this paper we make a Painlevé analysis of the Zakharov-Kuznetsov equation (which governs nonlinear ion-acoustic waves in a magnetized plasma) and show that it possesses the Painlevé property though there is no other evidence that this equation is ...
Shivamoggi, Bhimsen K.
core   +1 more source