D. V. Zavialov, V. I. Kontchenkov, S. V. Kryuchkov, “Small amplitude breather of the nonlinear Klein–Gordon equation”, Zhurnal Tekhnicheskoi Fiziki, 2022, Volume 92, Issue 12,Pages <nobr>1763

This article is cited in 1 paper

Theoretical and Mathematical Physics

Small amplitude breather of the nonlinear Klein–Gordon equation

D. V. Zavialov^a, V. I. Kontchenkov^ab, S. V. Kryuchkov^a

^a Volgograd State Technical University, 400005 Volgograd, Russia
^b Volgograd State Socio-Pedagogical University, 400005 Volgograd, Russia

Abstract: A technique for obtaining an approximate breather solution of the Klein–Gordon equation is presented. A breather solution of the equation describing the propagation of nonlinear waves in a graphene-based superlattice is investigated.

Keywords: Klein–Gordon equation, traveling breather, approximate solution, correlation coefficient.

Received: 25.05.2022
Revised: 10.09.2022
Accepted: 12.09.2022

DOI: 10.21883/JTF.2022.12.53741.144-22