2019/02/28 by Mohammad Mohammadi, M. Mohammadi · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Massless particle #Mathematical physics #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quantum mechanics #Soliton #Stability (learning theory) #Term (time) #nlin.PS #physics.class-ph
paper · pdf · doi:10.1016/j.aop.2020.168304
published in Annals of Physics 422, 168304 (Elsevier BV)
arxiv created 2020/09/09 · openalex publication_date 2020/09/09 · arxiv updated 2020/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For a real nonlinear Klein-Gordon Lagrangian density with a special solitary wave solution (SSWS), which is essentially unstable, it is shown how adding a proper additional massless term could guarantee the energetically stability of the SSWS, without changing its dominant dynamical equation and other properties. In other words, it is a stability catalyzer. The additional term contains a parameter B, which brings about more stability for the SSWS at larger values. Hence, if one considers B to be an extremely large value, then any other solution which is not very close to the free far apart SSWSs and the trivial vacuum state, require an infinite amount of energy to be created. In other words, the possible non-trivial stable configurations of the fields with the finite total energies are any number of the far apart SSWSs, similar to any number of identical particles.