Results 51 to 60 of about 315 (137)

Algebraic tori in the complement of quartic surfaces

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract Let B⊂P3$B\subset \mathbb {P}^3$ be an slc quartic surface. The existence of an embedding Gm3↪P3∖B$\mathbb {G}_m^3\hookrightarrow \mathbb {P}^3\setminus B$ implies that B$B$ has coregularity zero. In this article, we initiate the classification of coregularity zero semi log canonical (slc) quartic surfaces B⊂P3$B\subset \mathbb {P}^3$ for ...
Eduardo Alves da Silva, Fernando Figueroa, Joaquín Moraga   +2 more
wiley   +1 more source

An optimal system of group-invariant solutions and conserved quantities of a nonlinear fifth-order integrable equation

Open Physics, 2020
In this work, we perform Lie group analysis on a fifth-order integrable nonlinear partial differential equation, which was recently introduced in the literature and contains two dispersive terms.
Simbanefayi Innocent, Khalique Chaudry Masood   +1 more
doaj   +1 more source

Combining Symmetries and Helmholtz’s Conditions to Construct Lagrangians

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
We present new relations derived from Noether’s identity that reveal the compatibility between the components of the Hessian matrix of the Lagrangian, the infinitesimal symmetry transformation of the configuration variables and time, and a constant of motion.
Merced Montesinos, Diego Gonzalez, Jorge Meza, Ricardo Weder   +3 more
wiley   +1 more source

Non-local conserved currents and continuous non-invertible symmetries

Journal of High Energy Physics
We embark on a systematic study of continuous non-invertible symmetries, focusing on 1+1d CFTs. We describe a generalized version of Noether’s theorem, where continuous non-invertible symmetries are associated to non-local conserved currents: point-like ...
Diego Delmastro, Adar Sharon, Yunqin Zheng   +2 more
doaj   +1 more source

Fractional Time-Scales Noether’s Theorem for Non-Standard Birkhoffian System

Fractal and Fractional
In this work, Noether symmetries and conserved quantities of a non-standard Birkhoffian system based on the Caputo Δ Pfaff–Birkhoff principle on time scales are studied.
Zhenyu Wu, Chuanjing Song
doaj   +1 more source

On the conservation of energy: Noether's theorem revisited

Heliyon
This paper studies the dynamics and conservation of energy. It evaluates the validity of Noether's theorem as a formal argument supporting the law of conservation of energy in physical systems.
Jean-Paul Chavas
doaj   +1 more source

Rolf Sundberg's contribution to the Discussion of “On optimal linear prediction” by I. Helland

Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 9-10, March 2026.
Rolf Sundberg
wiley   +1 more source

Covariant conservation laws, local invariance and Noether’s second theorem

European Physical Journal C: Particles and Fields
We lay down a set of requirements for a field theory to produce a covariant conservation law out of Noether’s second theorem, and show that neither local invariance implies a covariant conservation law, nor the existence of a covariant conservation law ...
Nuno Barros e Sá, Miguel A. S. Pinto, Tomás Trindade   +2 more
doaj   +1 more source

Equivariance, Variational Principles, and the Feynman Integral

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral.
George Svetlichny
doaj  

Exact solutions of equal-width equation and its conservation laws

Open Physics, 2019
In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process.
Khalique Chaudry Masood, Plaatjie Karabo, Simbanefayi Innocent   +2 more
doaj   +1 more source