Orbital stability of solitary waves for a shallow water equation
By Adrian Constantin, Luc Molinet. 2001
195 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/39372ed069ee713f52f4e44ee8a8b769c332393e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Yue Liu
- Zhiwu Lin
- Jonatan Lenells
- Luc Molinet
- Didier Pilod
- Zhaoyang Yin
- Changzheng Qu
- Carlos E. Kenig
In Mathematical Physics
- Yue Liu
- Zhiwu Lin
- Jonatan Lenells
- Luc Molinet
- Zhaoyang Yin
- Didier Pilod
- Changzheng Qu
- Carlos E. Kenig
In Statistical and Nonlinear Physics
- Yue Liu
- Zhiwu Lin
- Jonatan Lenells
- Luc Molinet
- Zhaoyang Yin
- Adrian Constantin
- Changzheng Qu
- Joachim Escher
Citations in the corpus
- On Well-Posedness Results for Camassa-Holm Equation on the Line: A Survey (2004, background): “These solitary waves are orbitally stable ([12], [14]).”
- Global existence and blow-up solutions for a nonlinear shallow water equation (2006, background): “[CaHo,BeSaSz,CoMo2] and are orbitally stable [ CoMo ,CoSt1], breaking waves occur [CaHo,Co1,Mc], and global solutions exist[Co1,CoEs].”
- Stability of multipeakons (2008, unknown): “[11]) succeeded in proving the orbital stability by a direct approach (see also [14] for another stability result, using Cazenave–Lions method, under additional assumptions on the initial data).”
- Stability of peakons for the Degasperis‐Procesi equation (2007, methodology): “The variational approach is used in [ 10 ] for the CH equation.”
- Traveling wave solutions of the Camassa-Holm equation (2005, background): “Moreover, the peakons, whether solitary waves or periodic waves, are also orbitally stable[22,23,42,43] .”