Zobrazeno 1 - 10
of 467 706
pro vyhledávání: '"Gordon, P A"'
Autor:
Rego-Monteiro, M. A., Curado, E. M. F.
We construct a nonlinear multiparametric Klein-Gordon for complex and real fields with mass dimension depending on a real parameter $\alpha$ as $\delta = 2/(1+\alpha)$ where $\delta$ is the mass dimension of the fields. We show that there are three c
Externí odkaz:
http://arxiv.org/abs/2412.13226
On the elliptic sinh-Gordon equation with integrable boundary conditions II -- Baker-Akhiezer theory
Autor:
Smith, Graham Andrew
We study finite-type solutions of the elliptic sinh-Gordon equation along the strip $\Bbb{R}\times[0,L]$ with Durham conditions on each boundary component. We determine necessary rationality criteria for these conditions to be satisfied on both compo
Externí odkaz:
http://arxiv.org/abs/2412.07896
In the present work we explore the dynamics of single kinks, kink-anti-kink pairs and bound states in the prototypical fractional Klein-Gordon example of the sine-Gordon equation. In particular, we modify the order $\beta$ of the temporal derivative
Externí odkaz:
http://arxiv.org/abs/2411.18600
Autor:
Alvarez, Vicente, Esfahani, Amin
In this study, we investigate the Klein-Gordon-Zakharov system with a focus on identifying multi-soliton solutions. Specifically, for a given number $N$ of solitons, we demonstrate the existence of a multi-soliton solution that asymptotically converg
Externí odkaz:
http://arxiv.org/abs/2411.15487
Autor:
Chen, Gong, Luhrmann, Jonas
We establish the full asymptotic stability of the sine-Gordon kink outside symmetry under small perturbations in weighted Sobolev norms. Our proof consists of a space-time resonances approach based on the distorted Fourier transform to capture modifi
Externí odkaz:
http://arxiv.org/abs/2411.07004
Publikováno v:
Nuclear Physics B, Volume 1006, September 2024, 116630
This study investigates the application of wave functions to explore various solutions of the Klein-Gordon and Schr\"{o}dinger equations within the framework of Lovelock gravity. We also present the derived Smarr formula from the topological density.
Externí odkaz:
http://arxiv.org/abs/2411.00926
We consider an extended model with two real scalar fields, $\phi(x,t)$ and $\chi(x,t)$. The first sector is controlled by the sine-Gordon superpotential, while the second field is submitted to the $\chi^4$ one. The fields mutually interact via a nont
Externí odkaz:
http://arxiv.org/abs/2411.00512
Autor:
Hegedus, Arpad
In the repulsive regime of the sine-Gordon model, we work out a method, that enables one to formulate the UV limit of finite volume expectation values in terms of the integrable description of the UV limit of the corresponding spectral problem. Since
Externí odkaz:
http://arxiv.org/abs/2410.16883
Autor:
Bringmann, Bjoern, Cao, Sky
We prove the global well-posedness of the dynamical sine-Gordon model up to the third threshold, i.e., for parameters $\beta^2 < 6\pi$. The key novelty in our approach is the introduction of the so-called resonant equation, whose solution is entirely
Externí odkaz:
http://arxiv.org/abs/2410.15493
Autor:
Lin, Robert
We introduce an embedding of the Klein-Gordon equation into a pair of coupled equations that are first-order in time. The existence of such an embedding is based on a positivity property exhibited by the Klein-Gordon equation. These coupled equations
Externí odkaz:
http://arxiv.org/abs/2410.04666