Results 61 to 70 of about 2,288,345 (293)

Suprathermal Soliton Solutions to Nonlinear Schrödinger Equation

Contributions to Plasma Physics, Volume 66, Issue 3, March 2026.
ABSTRACT Maxwell distributions are very difficult to find in the low‐pressure environment far away the Earth atmosphere, permeated by high temperatures, various types of radiation, highly energetic particles, space debris, and subjected to microgravity, presenting crucial challenges for spacecraft design and operations, and affecting astronaut's health.
F. E. M. Silveira, M. H. Benetti, I. L. Caldas   +2 more
wiley   +1 more source

Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials [PDF]

, 2015
We construct rational extensions of the Darboux-P\"oschl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the initial potential, whereas the latter are only quasi-isospectral.
Grandati, Yves, Quesne, Christiane
core   +3 more sources

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

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

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 CMV matrices [PDF]

, 2015
We develop a theory of Darboux transformations for CMV matrices, canonical representations of the unitary operators. In perfect analogy with their self-adjoint version -- the Darboux transformations of Jacobi matrices -- they are equivalent to Laurent ...
M. J. Cantero, F. Marcellán, L. Moral, L. Velázquez   +3 more
semanticscholar   +1 more source