Solitary waves and fundamental solution for Ostrovsky equation

Mathematics and Computers in Simulation

Volumn 69, Issue 5-6, 2005, Pages 567-579

  Varlamov, Vladimir ^a   Liu, Yue ^b  

^a UNIVERSITY OF TEXAS PAN AMERICAN   (United States)

^b UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

Fundamental solution; Ostrovsky equation; Solitary waves

Indexed keywords

ASYMPTOTIC STABILITY; FLUIDS; FUNCTIONS; SOLITONS;

DISPERSION PARAMETER; FUNDAMENTAL SOLUTION; OSTROVSKY EQUATION; SOLITARY WAVES;

WAVE PROPAGATION;

EID: 23144446528     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2005.03.003     Document Type: Conference Paper

References (15)

1. M. Abramowitz, I.A. Stegun (Eds.), Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, National Bureau of Standards, 1964.
2. E.S. Benilov On the surface waves in a shallow channel with an uneven bottom Stud. Appl. Math. 87 1992 1 14
3. J. Fróhlich, E.H. Lieb, and M. Loss Stability of Coulomb systems with magnetic fields. I. The one-electron atom Commun. Math. Phys. 104 1986 251 270
4. V.N. Galkin, and Yu.A. Stepanyants On the existence of stationary solitary waves in a rotating fluid J. Appl. Math. Mech. 6 55 1991 939 943
5. O.A. Gilman, R. Grimshaw, and Yu.A. Stepanyants Approximate and numerical solutions of the stationary Ostrovsky equation Stud. Appl. Math. 95 1995 115 126
6. R. Grimshaw Evolution equations for weakly nonlinear long internal waves in a rotating fluid Stud. Appl. Math. 73 1985 1 33
7. B.B. Kadomtsev, and V.I. Petviashvili On the stability of solitary waves in weakly dispersive media Sov. Phys. Dokl. 15 6 1970 541 593
8. E.H. Lieb On the lowest eigenvalue of Laplacian for the intersection of two domains Invent. Math. 74 1983 441 448
9. P.L. Lions The concentration compactness principle in the calculus of variations. The locally compact case. Parts 1 and 2 Ann. Inst. H. Poincaré, Anal. Nonlinéaire 1 1984 109-145, 223-283
10. L.A. Ostrovsky Nonlinear internal waves in a rotating ocean Okeanologia 18 2 1978 181 191
11. L.A. Ostrovsky, Yu.A. Stepanyants, Nonlinear surface and internal waves in rotating fluids, in: A.V. Gaponov-Grekhov, M.I. Rabinovich, J. Engelbrecht (Eds.), Research Reports in Physics, vol. 3, Nonlinear Waves, Springer, Berlin, Heidelberg, 1990.
12. A.P. Prudnikov, Yu.A. Brychkov, O.I. Marichev, Integrals and Series, vol. 1, Gordon and Breach, NY, 1990.
13. V.K. Tuan, Airy integral transform and the Paley-Wiener theorem, in: Transform Methods & Special Functions, Proceedings of II International Workshop, Varna, 23-30 August 1996, pp. 523-531.
14. V. Varlamov, and Y. Liu Cauchy problem for the Ostrovsky equation Discrete Cont. Dynam. Syst. 10 2004 731 753
15. G.N. Watson A Treatise on the Theory of Bessel Functions second ed. 1980 Cambridge University Press NY