Nonintegrability of a fifth-order equation with integrable two-body dynamics

Theoretical and Mathematical Physics

Volumn 137, Issue 1, 2003, Pages 1459-1471

  Holm, D D ^a   Hone, A N W ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF KENT   (United Kingdom)

Author keywords

Elastic scattering; Hamiltonian dynamics; Nonintegrability; Pulsons

Indexed keywords

EID: 0347753291     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026060924520     Document Type: Article

References (19)

1. O. Fringer and D. D. Holm, Phys. D, 150, 237-263 (2001).
2. R. Camassa and D. D. Holm, Phys. Rev. Lett., 71, 1661-1664 (1993); R. Camassa, D. D. Holm, and J. M. Hyman, Adv. Appl. Mech., 31, 1-33 (1994).
3. R. Camassa and D. D. Holm, Phys. Rev. Lett., 71, 1661-1664 (1993); R. Camassa, D. D. Holm, and J. M. Hyman, Adv. Appl. Mech., 31, 1-33 (1994).
4. A. Degasperis, D. D Holm, and A. N. W. Hone, "A class of equations with peakon and pulson solutions," in preparation.
5. D. D. Holm and M. F. Staley, "Wave structures and nonlinear balances in a family of 1+1 evolutionary PDEs," nlin.CD/0202059 (2002).
6. A. Degasperis and M. Procesi, "Asymptotic integrability," in: Symmetry and Perturbation Theory (A. Degasperis and G. Gaeta, eds.), World Scientific, Singapore (1999), pp. 23-37.
7. A. Degasperis, D. D. Holm, and A. N. W. Hone, Theor. Math. Phys., 133, 1463-1474 (2002).
8. A. V. Mikhailov and V. S. Novikov, J. Phys. A, 35, 4775-4790 (2002).
9. H. R. Dullin, G. A. Gottwald, and D. D. Holm, Phys. Rev. Lett., 87, 194501-194504 (2002).
10. A. Ramani, B. Dorizzi, and B. Grammaticos, Phys. Rev. Lett., 49, 1538-1541 (1982).
11. J. G. Kingston and C. Rogers, Phys. Lett. A, 92, 261-264 (1982).
12. P. A. Clarkson, A. S. Fokas, and M. J. Ablowitz, SIAM J. Appl. Math., 49, 1188-1209 (1989).
13. A. N. W. Hone, Phys. Lett. A, 249, 46-54 (1998).
14. M. J. Ablowitz, A. Ramani, and H. Segur, Lett. Nuovo Cimento, 23, 333-338 (1978).
15. A. V. Mikhailov, A. B. Shabat, and R. I. Yamilov, Russ. Math. Surv., 42, 1-63 (1987).
16. H. D. Wahlquist and F. B. Estabrook, J. Math. Phys., 16, 1-7 (1975); 17, 1293-1297 (1976).
17. H. D. Wahlquist and F. B. Estabrook, J. Math. Phys., 16, 1-7 (1975); 17, 1293-1297 (1976).
18. A. P. Fordy, "Prolongation structures of nonlinear evolution equations," in: Soliton Theory: A Survey of Results (A. P. Fordy, ed.), Manchester Univ. Press, Manchester (1990), pp. 403-425.
19. S. Abenda and Y. Fedorov, Acta Appl. Math., 60, 137-178 (2000).