no code implementations • 1 May 2020 • Ivan C. Christov, Robert J. Decker, A. Demirkaya, Vakhid A. Gani, P. G. Kevrekidis, Avadh Saxena
We find that, when suitably initialized, these models still feature the multi-bounce resonance windows earlier found in models in which the kinks bear exponential tails, such as the $\phi^4$ and $\phi^6$ field theories among others.
High Energy Physics - Theory Pattern Formation and Solitons
no code implementations • 7 Jul 2019 • Mohit Singh, Alina Y. Morkina, Elena A. Korznikova, Volodymyr I. Dubinko, Dmitry A. Terentiev, Daxing Xiong, Oleg B. Naimark, Vakhid A. Gani, Sergey V. Dmitriev
A nonlinear chain with six-order polynomial on-site potential is used to analyze the evolution of the total to kinetic energy ratio during development of modulational instability of extended nonlinear vibrational modes.
Pattern Formation and Solitons Materials Science Mathematical Physics Mathematical Physics 37Mxx, 65P10, 65P40