Results 31 to 40 of about 108,033 (290)
Non-canonical folding of Dynkin diagrams and reduction of affine Toda theories [PDF]
, 1995 The equation of motion of affine Toda field theory is a coupled equation for $r$ fields, $r$ is the rank of the underlying Lie algebra. Most of the theories admit reduction, in which the equation is satisfied by fewer than $r$ fields.
Khastgir, S. Pratik, Sasaki, Ryu
core +2 more sources
The symmetry reduction of variational integrals [PDF]
Mathematica Bohemica, 2017 Summary: The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis principle of constant energy systems are generalized. The article deals with one-dimensional variational integral subject to differential constraints, the Lagrange variational problem, that admits the Lie group of symmetries. Reduction to the orbit space
Václav Tryhuk, Veronika Chrastinová
openaire +2 more sources
The O(dd) Story of Massive Supergravity [PDF]
, 1999 The low energy effective action describing the standard Kaluza-Klein reduction of heterotic string theory on a d-torus possesses a manifest O(d,d+16) symmetry. We consider generalized Scherk-Schwarz reductions of the heterotic string to construct massive
Kaloper, Nemanja, Myers, Robert C.
core +4 more sources
Symmetry reduction of loop quantum gravity [PDF]
Classical and Quantum Gravity, 2011 The relation between standard Loop Quantum Cosmology and full Loop Quantum Gravity fails already at the first nontrivial step: The configuration space of Loop Quantum Cosmology can not be embedded into the configuration space of full Loop Quantum Gravity due to a topological obstruction.
Brunnemann, Johannes, Koslowski, Tim A.
openaire +2 more sources
Scaling symmetries, contact reduction and Poincaré’s dream
Journal of Physics A: Mathematical and Theoretical, 2023 Abstract We state conditions under which a symplectic Hamiltonian system admitting a certain type of symmetry (a scaling symmetry) may be reduced to a type of contact Hamiltonian system, on a space of one less dimension. We observe that such contact reductions underly the well-known McGehee blow-up process from classical mechanics.
Bravetti A., Jackman C., Sloan D.
openaire +6 more sources
Symmetry reductions of the (3+1) $(3+1)$-dimensional modified Zakharov–Kuznetsov equation
Advances in Difference Equations, 2019 This paper is concerned with the symmetry reductions of the (3+1) $(3+ 1)$-dimensional modified Zakharov–Kuznetsov equation of ion-acoustic waves in a magnetized plasma.
Yamin Liu +4 more
doaj +1 more source
Mathematics, 2020 On one hand, we construct λ-symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations.
Yu-Shan Bai, Jian-Ting Pei, Wen-Xiu Ma
doaj +1 more source
Symmetry reductions and invariant-group solutions for a two-dimensional Kundu–Mukherjee–Naskar model
Results in Physics, 2021 In this paper we studied the 2D Kundu–Mukherjee–Naskar model which governs many nonlinear processes from various fields of Physics, as for example the propagation of the nonlinear waves through optical fibres, rogue waves in hydrodynamics, or other ...
Rodica Cimpoiasu +5 more
doaj +1 more source
Reductions related with Hopf maps
, 2011 We consider the reductions of $2p$-dimensional particle system ($p=2,4,8$), associated with the Hopf map. For the third Hopf map we explicitly construct the functions associated to the symmetry related to the rotations in the fiber.Comment: submitted in ...
Yeghikyan, Vahagn
core +1 more source
The Lagrangian of a Self-Dual Gravitational Field as a Limit of the SDYM Lagrangian [PDF]
, 1996 The action for the su(N) SDYM equations is shown to give in the limit $N \to \infty$ the action for the six-dimensional version of the second heavenly equation.
Ablowitz +44 more
core +3 more sources