Results 51 to 60 of about 10,897,824 (131)

Mixed single, double, and triple poles solutions for the space-time shifted nonlocal DNLS equation with nonzero boundary conditions via Riemann–Hilbert approach

Nuclear Physics B
In this paper, we investigate the space-time shifted nonlocal derivative nonlinear Schrödinger (DNLS) equation under nonzero boundary conditions using the Riemann–Hilbert (RH) approach for the first time.
Xin-Yu Liu, Rui Guo
doaj   +1 more source

Wall–chamber decompositions for generalised Monge–Ampère equations

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Generalised Monge–Ampère (gMA) equations form a large class of PDE including Donaldson's J‐equation, inverse Hessian equations, some supercritical deformed Hermitian–Yang–Mills (dHYM) equations and some Z‐critical equations. Solvability of these equations is characterised by numerical criteria involving intersection numbers over all ...
Sohaib Khalid, Zakarias Sjöström Dyrefelt   +1 more
wiley   +1 more source

Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type

Symmetry, Integrability and Geometry: Methods and Applications, 2008
New reductions for the multicomponent modified Korteweg-de Vries (MMKdV) equations on the symmetric spaces of {f DIII}-type are derived using the approach based on the reduction group introduced by A.V. Mikhailov.
Nikolay A. Kostov, Vladimir S. Gerdjikov
doaj   +1 more source

On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source

Novel Soliton Propagation Governed by a Multi-Component Generalized NLS Equation with Fractional Order and Variable Coefficients

Fractal and Fractional
This study reveals novel soliton propagation governed by a variable-coefficient fractional-order multi-component generalized nonlinear Schrödinger (vfmgNLS) equation with the Riesz derivative, using an analytical approach.
Jinling Zhang, Chunxia An, Sheng Zhang
doaj   +1 more source

Counting Degrees of Freedom: A Method Applicable From Scalars to f(Q)$f(\mathbb {Q})$ Gravity and Beyond

Fortschritte der Physik, Volume 74, Issue 6, June 2026.
ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley   +1 more source

The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
wiley   +1 more source

Riemann-Hilbert problems with singularities

, 2016
The study of analytic discs attached to a totally real submanifold M of $\mathbb C^n$ leads to the consideration of a regular Riemann-Hilbert problem of a special form.
Bertrand, Florian
core   +1 more source

On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley   +1 more source

Properties of Matrix Orthogonal Polynomials via their Riemann-Hilbert Characterization

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We give a Riemann-Hilbert approach to the theory of matrix orthogonal polynomials. We will focus on the algebraic aspects of the problem, obtaining difference and differential relations satisfied by the corresponding orthogonal polynomials.
F. Alberto Grünbaum, Manuel D. de la Iglesia, Andrei Martínez-Finkelshtein   +2 more
doaj   +1 more source