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Codes to "Orbital Stability of Plane Waves in the Klein-Gordon Equation against Localized Perturbations"

Bukieda, Emile 1; Garénaux, Louis ORCID iD icon; Rijk, Björn de 1
1 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsdaten
Publikationsdatum 12.08.2026
Erstellungsdatum 03.08.2026
Identifikator DOI: 10.35097/22t3ee67b8v2af96
KITopen-ID: 1000196096
Lizenz Creative Commons Namensnennung – Nicht kommerziell – Weitergabe unter gleichen Bedingungen 4.0 International
Projektinformation SFB 1173, 258734477 (DFG, DFG KOORD, SFB 1173/3)
Externe Relationen Abstract/Volltext
Liesmich

Sofware Version: MATLAB R2024a

We explain how to generate Figures 1-3 from the preprint by running 'Integrator_Klein_Gordon.m':

The Parameter 'j' in line 4 of 'Integrator_Klein_Gordon.m' specifies the precision of the simulation. Running the simulation with j=8 is quick, with j=9 takes a few minutes, and with j=10 takes LONG (~12h).

-To obtain Fig.1 and Fig.2 from the preprint, choose j=10. The approximate growth rate of the L^2-norm of theta is returned as text.
-To obtain Fig.3 from the preprint, choose j=9, and change all '4's in lines 25-26 of 'Integrator_Klein_Gordon.m' to '7's.

We suggest doing all simulations with j=8 (or j=9), the results are qualitatively the same.

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