Local Well-Posedness and Orbital Stability of Solitary Wave Solutions for the Generalized Camassa–Holm Equation

Authors :: Sevdzhan Hakkaev
Kiril Kirchev
Source :: Communications in Partial Differential Equations. 30:761-781
Publication Year :: 2005
Publisher :: Informa UK Limited, 2005.
Abstract: We establish local well-posedness in the Sobolev space H s with any for the generalized Camassa–Holm equation. Furthermore, we consider the stability and instability problem of the solitary wave solutions.

Subjects :: Sobolev space
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Camassa–Holm equation
Applied Mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Orbital stability
Nonlinear Sciences::Pattern Formation and Solitons
Instability
Stability (probability)
Analysis
Well posedness
Mathematics

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