Results 81 to 90 of about 6,078 (188)

Characterizing the fine‐scale spatial distribution of soil phosphorus for efficient phosphorus management in an Illinois tile‐drained field

Journal of Environmental Quality, Volume 54, Issue 5, Page 1077-1089, September/October 2025.
Abstract Closed depressions in post‐glacial landscapes can accumulate phosphorus (P) due to repeated flooding and become hotspots for P loss when underlain by subsurface (tile) drainage. Soil P mapping is routinely based on the interpolation of samples from a 1‐ha grid, which may miss closed depressions and underestimate soil P levels leading to ...
Lenarth A. Ferrari, Lowell E. Gentry, Luis F. Andino, Jennifer M. Fraterrigo   +3 more
wiley   +1 more source

Integrability of natural Hamiltonian systems with homogeneous potentials of degree zero

, 2009
We derive necessary conditions for integrability in the Liouville sense of natural Hamiltonian systems with homogeneous potential of degree zero. We derive these conditions through an analysis of the differential Galois group of variational equations ...
Andrzej J. Maciejewski, Audin, Baider, Churchill, Duval, Duval, Erdélyi, Guillaume Duval, Guy Casale, Lang, Maciejewski, Maria Przybylska, Morales Ruiz, Morales-Ruiz, Morales-Ruiz, Morales-Ruiz, Ramis, Yoshida, Yoshida, Ziglin, Ziglin, Ziglin   +21 more
core   +3 more sources

The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas

Symmetry, Integrability and Geometry: Methods and Applications, 2013
To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group.
Mark E. Fels, Ian M. Anderson
doaj   +1 more source

Convergence in Symbiont‐Induced Plant‐Mediated Responses to Herbivory: Cascading Effects for Foraging Parasitoids

Ecology Letters, Volume 28, Issue 8, August 2025.
Polydnaviruses represent a striking example of convergent evolution. These viruses, divided into bracoviruses and ichnoviruses, were independently acquired by braconid and ichneumonid parasitoid wasps respectively, to deliver pathogenic genes to caterpillar hosts.
Antonino Cusumano, Serge Urbach, Veronique Jouan, Heiko Vogel, Marcel Dicke, Anne‐Nathalie Volkoff, Erik H. Poelman   +6 more
wiley   +1 more source

On Non-Point Invertible Transformations of Difference and Differential-Difference Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2010
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations
Sergey Ya. Startsev
doaj   +1 more source

Transformations of Darboux Integrable Systems

, 2009
This article reviews some recent theoretical results about the structure of Darboux integrable differential systems and their relationship with symmetry reduction of exterior differential systems. The symmetry reduction representation of Darboux integrable equations is then used to derive some new and unusual transformations.
Anderson, Ian M., Fels, Mark E.
openaire   +2 more sources

Discrete Integrable Principal Chiral Field Model and Its Involutive Reduction

Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.
ABSTRACT We discuss an integrable discretization of the principal chiral field models equations and its involutive reduction. We present a Darboux transformation and general construction of soliton solutions for these discrete equations.
J. L. Cieśliński, A. V. Mikhailov, M. Nieszporski, F. W. Nijhoff   +3 more
wiley   +1 more source

Galoisian Approach to integrability of Schr\"odinger Equation [PDF]

, 2010
In this paper, we examine the non-relativistic stationary Schr\"odinger equation from a differential Galois-theoretic perspective. The main algorithmic tools are pullbacks of second order ordinary linear differential operators, so as to achieve rational ...
Dedicated To Jerry Kovacic, In Memoriam, Jacques-arthur Weil, Juan J. Morales-ruiz, Primitivo B. Acosta-humánez   +4 more
core  

Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time

Symmetry, Integrability and Geometry: Methods and Applications, 2012
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras $A_N$, $B_N$, $C_N$, $G_2$, $D_3$, $A_1^{(1)}$, $A_2^{(2)}$, $D^{(2)}_N$ these systems are proved to be ...
Rustem Garifullin, Ismagil Habibullin, Marina Yangubaeva   +2 more
doaj   +1 more source

Product of Exponentials (POE) Splines on Lie‐Groups: Limitations, Extensions, and Application to SO(3)$$ SO(3) $$ and SE(3)$$ SE(3) $$

International Journal for Numerical Methods in Engineering, Volume 126, Issue 14, 30 July 2025.
ABSTRACT Existing methods for constructing splines and Bézier curves on a Lie group G$$ G $$ involve repeated products of exponentials deduced from local geodesics, w.r.t. a Riemannian metric, or rely on general polynomials. Moreover, each of these local curves is supposed to start at the identity of G$$ G $$.
Andreas Müller
wiley   +1 more source