Results 71 to 80 of about 2,294,985 (248)

Two binary Darboux transformations for the KdV hierarchy with self-consistent sources

, 2001
Two binary (integral type) Darboux transformations for the KdV hierarchy with self-consistent sources are proposed. In contrast with the Darboux transformation for the KdV hierarchy, one of the two binary Darboux transformations provides non auto-B\"{a ...
Antonowicz, Chen, Claude, Doktorov, Doktorov, Kaup, Leon, Leon, Leon, Ma, Ma, Mel’nikov, Mel’nikov, Mel’nikov, Mel’nikov, Mel’nikov, Mel’nikov, Nakazawa, Shchesnovich, Vlasov, Wen-Xiu Ma, Yijun Shao, Yu Orlov, Yunbo Zeng, Zakharov, Zeng, Zeng, Zeng, Zeng, Zeng, Zeng   +30 more
core   +2 more sources

Grey‐Body Factors and Absorption Cross‐Sections of Scalar and Dirac Fields in the Vicinity of Dilaton‐De Sitter Black Hole

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract The propagation of a massive scalar field and a massless Dirac field in the geometry of a dilaton–de Sitter black hole is investigated. Starting from the covariant perturbation equations, the corresponding effective potentials are presented and their dependence on the dilaton charge, field mass, and cosmological constant is analyzed. Using the
Bekir Can Lütfüoğlu
wiley   +1 more source

Darboux–Bäcklund transformations, dressing & impurities in multi-component NLS

Nuclear Physics B, 2017
We consider the discrete and continuous vector non-linear Schrödinger (NLS) model. We focus on the case where space-like local discontinuities are present, and we are primarily interested in the time evolution on the defect point. This in turn yields the
Panagiota Adamopoulou, Anastasia Doikou, Georgios Papamikos   +2 more
doaj   +1 more source

Hydrologic Dynamics of Ephemerally Flooded Playas in a Dryland Environment

Water Resources Research, Volume 62, Issue 1, January 2026.
Abstract Ephemerally flooded playas are common in the southwestern United States and globally in drylands. Often formed in closed basins, playas are depressions which inundate infrequently from local precipitation and streamflow produced near the playa or from upland areas.
Charles R. Kimsal, Enrique R. Vivoni, Osvaldo E. Sala, H. Curtis Monger, Owen P. McKenna   +4 more
wiley   +1 more source

Non-commutative NLS-type hierarchies: Dressing & solutions

Nuclear Physics B, 2019
We consider the generalized matrix non-linear Schrödinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Anastasia Doikou, Iain Findlay, Spyridoula Sklaveniti   +2 more
doaj   +1 more source

Darboux transformation for two‐level system

Annalen der Physik, 2005
AbstractWe develop the Darboux procedure for the case of the two‐level system. In particular, it is demonstrated that one can construct the Darboux intertwining operator that does not violate the specific structure of the equations of the two‐level system, transforming only one real potential into another real potential.
Bagrov, V., Baldiotti, M., Gitman, D., Shamshutdinova, V.   +3 more
openaire   +3 more sources

Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak, Karsten Matthies, Jonathan Sewell, Miles H. Wheeler   +3 more
wiley   +1 more source

Spectra of elliptic potentials and supersymmetric gauge theories

Journal of High Energy Physics, 2020
We study a relation between asymptotic spectra of the quantum mechanics problem with a four components elliptic function potential, the Darboux-Treibich-Verdier (DTV) potential, and the Omega background deformed N=2 supersymmetric SU(2) QCD models with ...
Wei He
doaj   +1 more source

Spectral Transformations and Associated Linear Functionals of the First Kind

Axioms, 2021
Given a quasi-definite linear functional u in the linear space of polynomials with complex coefficients, let us consider the corresponding sequence of monic orthogonal polynomials (SMOP in short) (Pn)n≥0.
Juan Carlos García-Ardila, Francisco Marcellán   +1 more
doaj   +1 more source

Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation

, 2009
This paper is concerned with a generalized type of Darboux transformations defined in terms of a twisted derivation $D$ satisfying $D(AB)=D(A)+\sigma(A)B$ where $\sigma$ is a homomorphism.
DeWitt B., Dimakis A., Gelfand I. M., Li C. X., Li C. X.   +4 more
core   +1 more source