On the asymptotic integrability of a higher-order evolution equation describing internal waves in a deep fluid

Journal of Mathematical Physics

Volumn 37, Issue 7, 1996, Pages 3415-3421

  Fokas, A S ^a   Grimshaw, R H J ^b   Pelinovsky, D E ^b  

^a CLARKSON UNIVERSITY   (United States)

^b MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030538777     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531572     Document Type: Article

References (17)

1. A. Jeffrey and T. Kawahara, Asymptotic Methods in Nonlinear Wave Theory (Pitman, London, 1982).
2. F. Calogero, in What is Integrability, edited by V. E. Zakharov (Springer-Verlag, New York, 1992).
3. G. B. Whitham, Linear and Nonlinear Waves (Wiley-Interscience, New York, 1974).
4. Y. Kodama, Phys. Lett. A 107, 245 (1985); Physica D 16, 14 (1985).
5. Y. Kodama, Phys. Lett. A 107, 245 (1985); Physica D 16, 14 (1985).
6. A. S. Fokas, Physica D 87, 145 (1995); A. S. Fokas and Q. Liu, Asymptotic Integrability of Water Waves, preprint, Clarkson University (1995).
7. A. S. Fokas, Physica D 87, 145 (1995); A. S. Fokas and Q. Liu, Asymptotic Integrability of Water Waves, preprint, Clarkson University (1995).
8. A. S. Fokas and B. Fuchssteiner, Phys. Lett. A 86, 341 (1981).
9. D. E. Pelinovsky and R. H. J. Grimshaw, Stud. Appl. Math. 96 (1996).
10. Y. Matsuno, Phys. Rev. E 49, 2091 (1994).
11. Y. Matsuno, Phys. Rev. Lett. 73, 1316 (1994); Phys. Rev. E 51, 1471 (1995).
12. Y. Matsuno, Phys. Rev. Lett. 73, 1316 (1994); Phys. Rev. E 51, 1471 (1995).
13. D. Pelinovsky, Phys. Lett. A 197, 401 (1995); D. E. Pelinovsky and R. H. J. Grimshaw, J. Math. Phys. 36, 4203 (1995).
14. D. Pelinovsky, Phys. Lett. A 197, 401 (1995); D. E. Pelinovsky and R. H. J. Grimshaw, J. Math. Phys. 36, 4203 (1995).
15. K. M. Case, Proc. Natl. Acad. Sci. USA 76, 1 (1979); J. Math. Phys. 20, 972 (1979).
16. K. M. Case, Proc. Natl. Acad. Sci. USA 76, 1 (1979); J. Math. Phys. 20, 972 (1979).
17. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, 1981).