Self-adjointness of a generalized Camassa-Holm equation

Applied Mathematics and Computation

Volumn 218, Issue 6, 2011, Pages 2579-2583

  Ibragimov, N H ^a   Khamitova, R S ^a   Valenti, A ^b  

^a BLEKINGE INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF CATANIA   (Italy)

Author keywords

Camassa Holm equation; Conservation laws; Quasi self adjointness

Indexed keywords

CAMASSA-HOLM EQUATIONS; CONSERVATION LAW; CONSERVATION LAWS; KDV EQUATIONS; KDV TYPE EQUATION; SELF-ADJOINTNESS;

PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES;

NONLINEAR EQUATIONS;

EID: 84860389838     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.07.074     Document Type: Article

References (12)

1. N.H. Ibragimov The answer to the question put to me by L.V. Ovsyannikov 33 years ago Arch. ALGA 3 2006 53 80
2. N.H. Ibragimov A new conservation theorem J. Math. Anal. Appl. 333 2007 311 328
3. P.A. Clarkson, E.L. Mansfield, and T.J. Priestley Symmetries of a class of nonlinear third-order partial differential equations Math. Comput. Model. 25 8/9 1997 195 212 (Pubitemid 27275065)
4. R. Camassa, and D.D. Holm An integrable shallow water equation with peaked solitons Phys. Rev. Lett. 71 1993 1661 1664
5. R. Camassa, D.D. Holm, and J.M. Hyman A new integrable shallow water equation Adv. Appl. Mech. 31 1994 l 33
6. A.S. Fokas On a class of physically important integrable equations Physica D 87 1995 145 150
7. B. Fuchssteiner Some tricks from the symmetry-toolbox for nonlinear equations eneralizations of the Camassa-Holm equation Physica D 95 1996 229 243 (Pubitemid 126687368)
8. B. Fornberg, and G.B. Whitham A numerical and theoretical study of certain nonlinear wave phenomena Phil. Trans. R. Soc. Lond. A 289 1978 373 404
9. P. Rosenau, and J.M. Hyman Compactons: solitons with finite wavelength Phys. Rev. Lett. 70 1993 564 567
10. D.D. Holm, J.E. Marsden, and T.S. Ratiu The Euler-Poincaré equations and semidirect products with applications to continuum theories Adv. Math. 137 1 1998 1 81 (Pubitemid 128347585)
11. N.H. Ibragimov Quasi-self-adjoint differential equations Arch. ALGA 4 2007 55 60
12. M. Euler, N. Euler, Integrating factors and conservation laws for some Camassa-Holm type equations, Discret. Contin. Dyn Syst. Series B (2011).