Stability of Small-amplitude Internal Solitary Waves in Stratified Fluids
作者： Michihisa Tsutahara , Takeshi Kataoka
关键词:
摘要:
sci-hub.st 参考文章(10)
Michael I. Weinstein, Lyapunov stability of ground states of nonlinear dispersive evolution equations Communications on Pure and Applied Mathematics. ,vol. 39, pp. 51- 67 ,(1986) , 10.1002/CPA.3160390103
Jerry L Bona, Panagiotis E Souganidis, Walter A Strauss, Stability and Instability of Solitary Waves of Korteweg-de Vries Type Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 411, pp. 395- 412 ,(1987) , 10.1098/RSPA.1987.0073
Takeshi Kataoka, Michihisa Tsutahara, Yoshihiro Negoro, Transverse instability of solitary waves in the generalized kadomtsev-petviashvili equation Physical Review Letters. ,vol. 84, pp. 3065- 3068 ,(2000) , 10.1103/PHYSREVLETT.84.3065
Dmitry E. Pelinovsky, Roger H.J. Grimshaw, An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations Physica D: Nonlinear Phenomena. ,vol. 98, pp. 139- 155 ,(1996) , 10.1016/0167-2789(96)00093-0
J.C. Alexander, R.L. Pego, R.L. Sachs, On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation Physics Letters A. ,vol. 226, pp. 187- 192 ,(1997) , 10.1016/S0375-9601(96)00921-8
E.A. Kuznetsov, Soliton stability in equations of the KdV type Physics Letters A. ,vol. 101, pp. 314- 316 ,(1984) , 10.1016/0375-9601(84)90845-4
Hideshi Hanazaki, On the three-dimensional internal waves excited by topography in the flow of a stratified fluid Journal of Fluid Mechanics. ,vol. 263, pp. 293- 318 ,(1994) , 10.1017/S002211209400412X
Hidekazu Tsuji, Masayuki Oikawa, Two-Dimensional Interaction of Internal Solitary Waves in a Two-Layer Fluid Journal of the Physical Society of Japan. ,vol. 62, pp. 3881- 3892 ,(1993) , 10.1143/JPSJ.62.3881
E.A. Kuznetsov, M.D. Spector, G.E. Fal'Kovich, On the stability of nonlinear waves in integrable models Physica D: Nonlinear Phenomena. ,vol. 10, pp. 379- 386 ,(1984) , 10.1016/0167-2789(84)90186-6
V. E. Zakharov, Instability and nonlinear oscillations of solitons ZhETF Pisma Redaktsiiu. ,vol. 22, pp. 172- ,(1975)