The Analysis of Bifurcation Solutions for the Camassa-Holm Equation

Authors

  • Hussein K. Kadhim Department of Mathematics, University of Basrah, Basrah
  • Mudhir A. Abdul Hussain Department of Mathematics, University of Basrah, Basrah

DOI:

https://doi.org/10.26713/jims.v11i3-4.1265

Keywords:

Camassa-Holm equation, Bifurcation solutions, Boundary Singularities, Caustic

Abstract

This paper studies the Camassa-Holm equation's bifurcation solutions by using the local method of Lyapunov-Schmidt. The Camassa-Holm equation has been studied with the formula ODE. We have found the key function corresponding to the functional related to this equation. The bifurcation analysis of this function has been investigated by the boundary singularities. We have found the parametric equation of the bifurcation set (caustic) with the geometric description of this caustic. Also, the critical points' bifurcation spreading has been found.

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References

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Published

2019-12-31
CITATION

How to Cite

Kadhim, H. K., & Hussain, M. A. A. (2019). The Analysis of Bifurcation Solutions for the Camassa-Holm Equation. Journal of Informatics and Mathematical Sciences, 11(3-4), 301–311. https://doi.org/10.26713/jims.v11i3-4.1265

Issue

Vol. 11 No. 3-4 (2019)

Section

Research Articles

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