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Article type: Research Article
Authors: Moutinho, Abdon; *; **
Affiliations: Georgia Tech, 686 Cherry St NW, Atlanta, GA 30332, USA
Correspondence: [**] Corresponding author. E-mail: [email protected].
Note: [*] Current address: Georgia Tech, 686 Cherry St NW, Atlanta, GA 30332, USA.
Abstract: In this paper, we consider the problem of elasticity and stability of the collision of two kinks with low speed v for the nonlinear wave equation known as the ϕ6 model in dimension 1+1. We construct a sequence of approximate solutions (ϕk(v,t,x))k∈N⩾2 for this model to understand the effects of the collision in the movement of each soliton during a large time interval. The construction uses a new asymptotic method which is not only restricted to the ϕ6 model.
Keywords: Kink, soliton, ϕ6 model, non-integrable model, scalar field, partial differential equation, ordinary differential equation, collision
DOI: 10.3233/ASY-241917
Journal: Asymptotic Analysis, vol. 140, no. 3-4, pp. 191-280, 2024
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