WebSep 13, 2010 · Abstract We show the existence of standing-wave solutions to a coupled non-linear Klein-Gordon equation. Our solutions are obtained as minimizers of the energy under a two-charges constraint. We prove that the ground state is stable and that standing-waves are orbitally stable under a non-degeneracy assumption. View PDF on arXiv Save … WebMar 4, 2002 · Journal of Contemporary Mathematical Analysis (Armenian Academy of …
Soliton solutions of coupled nonlinear Klein-Gordon equations
WebBased on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including the canonical and Hamiltonian forms and their novel properties beyond the conventional KG equation. ... There does not exist a coupled constant between the effective gauge ... WebMar 20, 2024 · The coupled Klein-Gordon like equations become coupled damped Klein-Gordon equations or telegraph equations or wave equations at a certain parameter value. The system is reduced to a discrete iteration of a 2D map which is different from the unary map induced by the non-coupled hyperbolic PDEs. sjhp cardiology
(PDF) Exact solutions for the coupled Klein–Gordon–Schrödinger ...
WebSep 9, 2024 · On the Orbital Stability of Standing-Wave Solutions to a Coupled Non-Linear Klein-Gordon Equation. Daniele Garrisi; Mathematics, Physics. 2010; Abstract We show the existence of standing-wave solutions to a coupled non-linear Klein-Gordon equation. Our solutions are obtained as minimizers of the energy under a two-charges constraint. WebOct 15, 2024 · Using the hyperboloidal foliation method, we establish stability results for a coupled wave-Klein-Gordon system with quadratic nonlinearities. In particular, we investigate quadratic wave-Klein-Gordon interactions in which there are no derivatives on the massless wave component. WebAt this point in the course, the Klein-Gordon equation had been studied fairly thoroughly. … s j howard lincoln