Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein–Gordon equations

Daniele Garrisi

doi:10.1007/s11784-023-01054-y

Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein–Gordon equations

Daniele Garrisi

School of Mathematical Sciences

Research output: Journal Publication › Article › peer-review

1 Citation (Scopus)

Abstract

We study the stability of standing-waves solutions to a scalar non-linear Klein–Gordon equation in dimension one with a quadratic- cubic non-linearity. Orbits are obtained by applying the semigroup gen- erated by the negative complex unit multiplication on a critical point of the energy constrained to the charge.

Original language	English
Article number	51
Number of pages	19
Journal	Journal of Fixed Point Theory and Applications
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/s11784-023-01054-y https://doi.org/10.1007/s11784-023-01054-y
Publication status	Published - 4 Apr 2023

Free Keywords

Klein–Gordon equation
Stability
Sturm-Liouville

ASJC Scopus subject areas

Modelling and Simulation
Geometry and Topology
Applied Mathematics

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title = "Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein–Gordon equations",

abstract = "We study the stability of standing-waves solutions to a scalar non-linear Klein–Gordon equation in dimension one with a quadratic- cubic non-linearity. Orbits are obtained by applying the semigroup gen- erated by the negative complex unit multiplication on a critical point of the energy constrained to the charge.",

keywords = "Klein–Gordon equation, Stability, Sturm-Liouville",

author = "Daniele Garrisi",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2023",

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AU - Garrisi, Daniele

PY - 2023/4/4

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N2 - We study the stability of standing-waves solutions to a scalar non-linear Klein–Gordon equation in dimension one with a quadratic- cubic non-linearity. Orbits are obtained by applying the semigroup gen- erated by the negative complex unit multiplication on a critical point of the energy constrained to the charge.

AB - We study the stability of standing-waves solutions to a scalar non-linear Klein–Gordon equation in dimension one with a quadratic- cubic non-linearity. Orbits are obtained by applying the semigroup gen- erated by the negative complex unit multiplication on a critical point of the energy constrained to the charge.

KW - Klein–Gordon equation

KW - Stability

KW - Sturm-Liouville

UR - https://www.scopus.com/pages/publications/85152674095

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DO - 10.1007/s11784-023-01054-y

M3 - Article

AN - SCOPUS:85152674095

SN - 1661-7738

VL - 25

JO - Journal of Fixed Point Theory and Applications

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M1 - 51

ER -

Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein–Gordon equations

Abstract

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