Long-wave and short-wave asymptotics in nonlinear dispersive systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 2, 1999, Pages 2418-2420

  Kraenkel, R A ^a   Manna, M A ^b   Merle, V ^b  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^b CNRS   (France)

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ARTICLE;

EID: 18044389197     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.2418     Document Type: Article

References (15)

1. A.D.M. Walker and J.F. Mackenzie, Proc. R. Soc. London, Ser. A 399, 217 (1985).
2. R. Camassa and D.D. Holm, Phys. Rev. Lett. 71, 1661 (1993).
3. G.B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
4. J. Kevorkian and J. D. Cole, Multiple Scale and Singular Perturbation Methods (Springer, New York, 1996).
5. T.B. Benjamin, J.L. Bona, and J.J. Mahony, Philos. Trans. R. Soc. London, Ser. A 272, 47 (1972).
6. F.P. Bretherton, J. Fluid Mech. 20, 457 (1964).
7. O.M. Phillips, Proc. R. Soc. London, Ser. A 299, 104 (1967).
8. D.J. Mahoney, Stud. Appl. Math. 95, 381 (1995).
9. K. Nishikawa, H. Hojo, K. Mima, and H. Ikezi, Phys. Rev. Lett. 33, 148 (1974).
10. D.J. Benney, Stud. Appl. Math. 56, 81 (1977).
11. T. Kawahara and A. Jeffrey, Wave Motion 1, 83 (1979).
12. S.L. Woodruff and A.F. Messiter, Stud. Appl. Math. 92, 159 (1994).
13. A. Jeffrey and T. Kawahara, Asymptotic Methods in Nonlinear Wave Theory (Pitman, Boston, 1982).
14. M.A. Manna and V. Merle, Phys. Rev. E 57, 6206 (1998).
15. R.A. Kraenkel, M.A. Manna, and J.G. Pereira, J. Math. Phys. 36, 307 (1995).