Results 51 to 60 of about 1,595,275 (210)

Isometric immersions into three‐dimensional unimodular metric Lie groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro, José M. Manzano, José S. Santiago   +2 more
wiley   +1 more source

Darboux Transformation and A-operator [PDF]

, 1994
Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u is proved based on the Kupershmidt-Wilson factorization of the associated ∧-operator ∧(u)=∂^・(2^u'+u∂-4^∂^3).
オオミヤ, マユミ, Mishev, Yordan P., Ohmiya, Mayumi   +2 more
core  

A Five-Component Generalized mKdV Equation and Its Exact Solutions

Mathematics, 2020
In this paper, a 3 × 3 spectral problem is proposed and a five-component equation that consists of two different mKdV equations is derived. A Darboux transformation of the five-component equation is presented relating to the gauge transformations
Bo Xue, Huiling Du, Ruomeng Li
doaj   +1 more source

Overland Flow Dynamics on a Cracked Soil Slope Under Drying‐Wetting Cycles: An Integrated Hydrological and Infrared Thermographic Study

Water Resources Research, Volume 62, Issue 8, August 2026.
Abstract Although overland flow strongly governs soil erosion and sediment transport, its response to desiccation cracking induced by drying‐wetting cycles is not fully understood. This study addresses this gap through laboratory rainfall simulations on a slope model subjected to three drying‐wetting cycles.
Ting‐Ting Chen, Qing Cheng, Qi Zhang, Chao‐Sheng Tang, Yang Lu, Bin Shi   +5 more
wiley   +1 more source

An Algebraic Study of Parametric Stokes Phenomena

Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley   +1 more source

Affine hypersurfaces and superintegrable systems

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
wiley   +1 more source

Soliton Solutions for the Wick-Type Stochastic KP Equation

Abstract and Applied Analysis, 2012
The Wick-type stochastic KP equation is researched. The stochastic single-soliton solutions and stochastic multisoliton solutions are shown by using the Hermite transform and Darboux transformation.
Y. F. Guo, L. M. Ling, D. L. Li
doaj   +1 more source

3D definition of the river bankfull stage from topographic LiDAR

Earth Surface Processes and Landforms, Volume 51, Issue 6, June 2026.
A 3D definition of river bankfull stage based on hydraulic depth derived from high‐density topographic LiDAR is proposed and implemented through the Bf3D framework, applied at the reach scale across 28 French rivers. Extending analysis beyond individual cross‐sections opens new opportunities for large‐scale, automated hydromorphological monitoring ...
Alexandre Retat, Nathalie Thommeret, Frédéric Gob, Jean‐Stéphane Bailly, Laurent Lespez, Thomas Depret, Karl Kreutzenberger   +6 more
wiley   +1 more source

Solving bi-directional soliton equations in the KP hierarchy by gauge transformation [PDF]

, 2006
We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy.
Cheng, Yi, He, Jingsong, He, J.S., Roemer, Rudolf A., Cheng, Y.   +4 more
core   +1 more source

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, Volume 49, Issue 9, Page 9814-9831, June 2026.
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