Conservation laws of the Camassa–Holm equation
By Jonatan Lenells. 2005
172 citations recorded by the source corpus.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/3830f7952411eaea3a53d1c9d4b9f76d333bed59
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In Geometry and Topology
- Yue Liu
- Zhaoyang Yin
- Helge Holden
- Xavier Raynaud
- Joachim Escher
- Alberto Bressan
- David Lannes
- Adrian Constantin
In Statistical and Nonlinear Physics
- Yue Liu
- Zhaoyang Yin
- Helge Holden
- Xavier Raynaud
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- Changzheng Qu
Citations in the corpus
- Global Conservative Solutions of the Camassa–Holm Equation (2007, methodology): “for a.e. t. Here (1.3) is understood as an equality between functions in L 2 (IR).”
- Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View (2007, background): “It has infinitely many conserved quantities, see, eg, Lenells ( 2005 ).”
- The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations (2007, methodology): “Just like the KdV equation (see [15]) and the Camassa-Holm equation (see [24]), the Degasperis-Procesi equation has infinitely many integrals of motion.”
- Global weak solutions and blow-up structure for the Degasperis–Procesi equation (2006, background): “It has a bi-Hamiltonian structure [25,32] and is completely integrable [3,8].”
- Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation (2006, background): “It has a bi-Hamiltonian structure [ 33 , 26] and is completely integrable [3, 9]. Its solitary waves are smooth if c0 > 0 and peaked in the limiting case c0 = 0 [4].”
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION (2007, unknown): “to [18, 20].”
- Inverse scattering transform for the Camassa–Holm equation (2006, unknown): “, such that [19, 24, 30, 40] −(∂ − ∂3)n δm = −(2ω∂ + m∂ + ∂m)n−1 δm .”