Results 41 to 50 of about 9,686 (209)

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Darboux transformations for differential operators on the superline

, 2015
We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) differential operators on the superline. We show that every Darboux transformation of such operators factorizes into elementary Darboux transformations of ...
Hill, Sean, Shemyakova, Ekaterina, Voronov, Theodore   +2 more
core   +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

C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +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

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

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

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

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

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