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Open Access Research Article

Bifurcation analysis of the Schamel Korteweg-de Vries equation with force term

, , , , , *

* Corresponding author · click or hover a name for details

pp. 1825–1834Vol. 29Issue 6June 2026DOI: 10.47974/JIM-2318XML
Received:
01 Feb 2025
Published Online:
30 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2318
Pages:
1825–1834

Abstract

In this investigation, we have studied the application of the bifurcation theory for the Schamel Korteweg-de Vries (SKdV) equation with force term. The equation has essential repercussions in engineering and the physical sciences. Furthermore, we study the equation incorporation of stepwise forcing elements, which are necessary in seismology for modeling seismic wave propagation and geological responses to seismic events. These terms contribute to the modeling of seismic waves. We investigate the dynamical system, stability, and phase portrait analysis for the SKdV equation with force term. Furthermore, we have studied the dynamic system’s series analysis and found the system’s quasi-periodic and weak quasi-periodic behavior.

Keywords

Subject Classifications

34C2334F1035B32

References

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