Extended Camassa-Holm Hierarchy and Conserved Quantities

@inproceedings{Ivanov2006ExtendedCH,
  title={Extended Camassa-Holm Hierarchy and Conserved Quantities},
  author={Rossen I. Ivanov},
  year={2006}
}
where ω is a real constant parameter, describes the unidirectional propagation of shallow water waves over a flat bottom [1, 2]. It firstly appeared in [3] as an equation with a bi-Hamiltonian structure. The CH equation is a completely integrable equation [4 – 9], describing permanent and breaking waves [10, 11]. Its solitary waves are stable solitons if ω > 0 [12 – 15] or peakons if ω = 0 [1, 16]. The CH equation arises also as an equation of the geodesic flow for the H 1 metrics on the Bott… CONTINUE READING
Highly Cited
This paper has 22 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 20 references

Soliton Equations and Their Algebro-Geometric Solutions, Vol. I: (1+1)- Dimensional Continuous Models, Cambridge Studies

  • F. Gesztesy, H. Holden
  • Advanced Mathematics,
  • 2003
Highly Influential
4 Excerpts

Lett

  • E. Reyes
  • Math. Phys. 59, 117
  • 2002
Highly Influential
4 Excerpts

A: Math

  • P. Estévez, J. Prada, J. Phys
  • Gen. 38, 1287
  • 2005

Math

  • A. Shabat, J. Nonlin
  • Phys. 12, 614
  • 2005

Phys

  • A. Constantin, J. Math
  • 46, 023506
  • 2005

Comment

  • A. Constantin, B. Kolev
  • Math. Helv. 78, 787
  • 2003
1 Excerpt

Commun

  • D. Holm, Z. Qiao
  • Math. Phys. 239, 309
  • 2003

Proc

  • R. S. Johnson
  • R. Soc. London A 459, 1687
  • 2003

Similar Papers

Loading similar papers…