ϕ 4 Solitons in Kirchhoff Wave Equation

Y. Contoyiannis (), P. Papadopoulos (), M. Kampitakis (), S. M. Potirakis () and N. L. Matiadou ()
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Y. Contoyiannis: University of West Attica
P. Papadopoulos: University of West Attica
M. Kampitakis: Network Major Installations Department
S. M. Potirakis: University of West Attica
N. L. Matiadou: University of West Attica

A chapter in Nonlinear Analysis, Differential Equations, and Applications, 2021, pp 71-80 from Springer

Abstract: Abstract We express the Kirchhoff wave equation in terms of classic field theory. This permits us to introduce the spontaneous symmetry breaking phenomenon in the study of linear structures, such as strings in order to investigate the existence of solitons solutions. We find ϕ 4 solitons in the space of spatial gradient of lateral displacement of a string. This helps us detect stable states in deformations of strings.

Keywords: Solitons; Spontaneous symmetry breaking; Kirchhoff wave equation; Strings vibration (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-72563-1_4

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DOI: 10.1007/978-3-030-72563-1_4

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