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Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems
(Gauthier-Villars/ElsevierParis, 2015-12)
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system with Hénon-type weights −Δu = '|X| POT. β' '|V| POT. Q-1' v, −Δv = '|X|POT. α' '|U| POT. P−1' u in Ω, u= v = 0 on ∂Ω, ...
Integrability and conformal symmetry in higher dimensions: A model with exact hopfion solutions
(2002-11-11)
We use ideas on integrability in higher dimensions to define Lorentz invariant field theories with an infinite number of local conserved currents. The models considered have a two-dimensional target space. Requiring the ...
Integrability and conformal symmetry in higher dimensions: A model with exact hopfion solutions
(2002-11-11)
We use ideas on integrability in higher dimensions to define Lorentz invariant field theories with an infinite number of local conserved currents. The models considered have a two-dimensional target space. Requiring the ...
Non-Hermitian Hamiltonians with unitary and antiunitary symmetries
(Academic Press Inc Elsevier Science, 2014-03)
We analyse several non-Hermitian Hamiltonians with antiunitary symmetry from the point of view of their point-group symmetry. It enables us to predict the degeneracy of the energy levels and to reduce the dimension of the ...
On symmetries of singular implicit ODEs
(2014)
We study implicit ODEs, cubic in derivative, with infinitesimal symmetry at singular points. Cartan showed that even at regular points the existence of nontrivial symmetry imposes restrictions on the ODE. Namely, this ...
Application of the λ-symmetries approach and time independent integral of the modified Emden equation
(2012-06-01)
In this paper we derive the time-independent integral for a nonlinear dissipative system, namely the modified Emden equation, from Lie point symmetries. We employ the recently introduced λ-symmetries method [C. Muriel, ...
Symmetry of mountain pass solutions of some vector field equations
(SpringerNew YorkEUA, 2006)
Applications of the Lie symmetries to complete solution of a bead on a rotating wire hoop
(2018-02-01)
The existence of Lie symmetries in differential equations can generate transformations in the dependent and independent variables and obtain new equations that may be easier to integrate. In particular, in some situations, ...
Global Well-posedness And Symmetries For Dissipative Active Scalar Equations With Positive-order Couplings
(UNIV AUTONOMA BARCELONABELLATERRA, 2016)