Hysteresis phenomena in the interaction of a damped solitary wave with an external force

Wave Motion

Volumn 26, Issue 3, 1997, Pages 253-274

  Grimshaw, Roger ^a   Pelinovsky, Efim ^a,b   Bezen, Alexander ^a  

^a MONASH UNIVERSITY   (Australia)

^b NIZHNY NOVGOROD STATE TECHNICAL UNIVERSITY N A R E ALEKSEEV   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012921748     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-2125(97)00028-0     Document Type: Article

References (14)

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4. K.A. Gorshkov, L.A. Ostrovsky and V.V. Papko, "Parametric amplification and generation of impulses in nonlinear distributive systems, Radio-physics and Quantum Electronics 16, 1195-1204 (1973).
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7. N.F. Smyth, "Dissipative effects on the resonant flow of a stratified fluid over topography", J. Fluid Mech. 192, 287-312 (1988).
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9. E. Pelinovsky, Nonlinear Dynamics of Tsunami Waves, Applied Physics Institute Press, Gorky (1982) (in Russian).
10. J.W. Miles, "Solitary wave evolution over a gradual slope with turbulent friction", J. Phys. Oceanogr. 13, 551-553 (1983).
11. R. Grimshaw and H. Mitsudera, "Slowly-varying solitary wave solutions of the perturbed Korteweg-de Vries equation revisited", Stud. Appl. Math. 83, 249-269 (1993).
12. R. Grimshaw, E. Pelinovsky and P. Sakov, "Interaction of a solitary wave with an external force moving with variable speed", Stud. Appl. Math. 97, 235-276 (1996).
13. A.A. Andronov, A.A. Vitt and S.E. Khaikin, Theory of Oscillators, Pergamon Press, Oxford (1966).
14. B. Fornberg and G.B. Whitham, "A numerical and theoretical study of certain nonlinear phenomena", Phil. Trans. R. Soc. London A 289, 373-404 (1978).