Solutions of the modified Ostrovskii equation with cubic non-linearity

Journal of Applied Mathematics and Mechanics

Volumn 64, Issue 2, 2000, Pages 267-274

  Nikitenkova, S P ^a   Stepanyants, Yu A ^a   Chikhladze, L M ^a  

^a NONE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034348329     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(00)00048-4     Document Type: Article

References (11)

1. Ostrovskii, L. A., Non-linear internal waves in a rotating ocean. Okeanologiya, 1978, 18, 2, 181-191.
2. Ostrovskii, L. A. and Stepanyants, Yu. A., Non-linear waves in a rotating fluid. In Non-linear Waves. Physics and Astrophysics. Nauka, Moscow, 1993, pp. 132-153.
3. Grimshaw, R., Ostrovskii, L. A., Shrira, V. I. and Stepanyants, Yu. A., Long nonlinear surface and internal gravity waves in a rotating ocean. Surveys in Geophysics, 1998, 19, 289-338.
4. Gilman, O. A., Grimshaw, R. and Stepanyants, Yu. A., Approximate analytical and numerical solutions of the stationary Ostrovsky equation. Stud. Appl. Math., 1995, 95, 1, 115-126.
5. Gilman, O. A., Grimshaw, R. and Stepanyants, Yu. A., Dynamics of internal solitary waves in a rotating fluid, Dynam. Atmosph. and Oceans, 1996, 23, 1-4, 403-411.
6. Miropol'skii, Yu. Z., Dynamics of Internal Gravitational Waves in the Ocean. Gidrometeoizdat, Leningrad, 1981.
7. Ostrovskii, L. A. and Stepanyants, Yu. A., Do internal solitons exist in the ocean? Rev. Geophys., 1989, 27, 3, 293-310.
8. Galkin, V. M. and Stepanyants, Yu. A., The existence of stationary solitary waves in a rotating fluid. Prikl. Mat. Mekh. 1991, 55, 6, 1051-1055.
9. Ablowitz, M. J. and Segur, H., Solitons and inverse scattering transform. SIAM, Philadelphia, PA, 1981.
10. Jahnke, E., Emde, F. and Lösch, F., Tables of Higher Functions. Teubner, Stuttgart, 1960.
11. Petviashvili, V. I. and Pokhotelov, O. A., Solitary Waves in Plasma and the Atmosphere. Energoatomizdat, Moscow, 1989.