Stability of peakons for the generalized Camassa-Holm equation

Electronic Journal of Differential Equations

Volumn 2003, Issue , 2003, Pages 1-12

  Lopes, Orlando ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Stability of peakons; Variational problems

Indexed keywords

EID: 2942657000     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Brezis, H. and Lieb, E., Minimum Action Solutions of Some Vector Field Equations, Comm. Math. Phys., 96, (1984), No. 1, 97-113.
2. Cazenave. T. and Lions, P.L., Orbital Stability of Standing waves for Some Nonlinear Schrodinger Equations, Comm. Math. Phys., 85, 1982, 549-561.
3. Constantin, A. and Molinet, L., Orbital Stability of Solitary Waves for a Shallow Water Equation, Physica D, 157 (2001) 75-89.
4. Constantin, A. and Strauss,W., Stability of Peakons, Comm. Pure and Applied Math., vol. LIII (2000), 603-610.
5. Constantin, A. and Strauss,W., Stability of the Camassa-Holm Solitons, J. Nonlinear Science, vol 12, 415-422 (2002).
6. Gradshteyn, I. and Ryzhik, I., Tables of Integrals, Series and Products, 4th edition, Academic Press, 1965.
7. Grillakis, M., Shatah, J. and Strauss, W., Stability theory of solitary waves in the presence of symmetry I., J. Funct. Anal., 74, No.1, 160-197 (1987).
8. Lions, P.L., The Concentration-Compactness Principle in the Calculus of Variations, Ann. Inst. H. Poincaré, Anal. non Linéaire, sec A, 1(1984), Part I 109-145, Part II 223-283.
9. Lions, P.L., The Concentration-Compactness Principle in the Calculus of Variations, Ann. Inst. H. Poincaré, Anal. non Linéaire, sec A, 1(1984), Part I 109-145, Part II 223-283.
10. Liu, Z. and Qian, T., Peakons and their Bifurcation in a Generalized Camassa-Holm Equation, Intern. J. of Bifurcation and Chaos, Vol. 11, No. 3 (2001), 781-792.
11. Lopes, O., Nonlocal variational problems arising in long wave propagation, Control, Optimisation and Calculus of Variations (COCV) (http://www.emath.fr/cocv) vol. 5 (2000), 501-528