[1]
|
M. Tanaka and N. Yajima, “Soliton Modes in an Unstable Plasma Nonlinear Phenomena in an Electron-Beam Plasma,” Progress of Theoretical Physics Supplement, Vol. 94, 1988, pp. 138-162.
|
[2]
|
T. Yajima and M. Wadati, “Solitons in an Unstable Medium,” Journal of the Physical Society of Japan, Vol. 56, 1987, pp. 3069-3081.
|
[3]
|
M. Wadati, H. Segur and M. J. Ablowitz, “A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities,” Journal of the Physical Society of Japan, Vol. 61, No. 4, 1992, pp. 1187-1193.
doi:10.1143/JPSJ.61.1187
|
[4]
|
B. L. Guo and Z. D. Dai, “Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities,” Discrete and Continuous Dynamical Systems, Vol. 4, No. 4, 1998, pp. 783-793.
doi:10.3934/dcds.1998.4.783
|
[5]
|
Z. D. Dai, “Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities,” Acta Mathematicae Applicatae Sinica (English Series), Vol. 18, No. 2, 2002, pp. 263-272.
doi:10.1007/s102550200025
|
[6]
|
Z. D. Dai, L. Yang and J. Huang, “Attractor for the Unperturbed Dissipative Hamiltonian Amplitude Wave,” Acta Mathematicae Applicatae Sinica, Vol. 27, No. 4, 2004, pp. 577-592.
|
[7]
|
L. Yang and Z. D. Dai, “Finite Dimension of Global Attractors for Dissipative Equations Governing Modulated Wave,” Applied Mathematics: A Journal of Chinese Universities, Vol. 18, No. 4, 2003, pp. 421-430.
doi:10.1007/s11766-003-0069-3
|
[8]
|
Y. R. Li and B. L. Guo, “Random Attractors of Boussinesq Equations with Multiplicative Noise,” Acta Mathematicae Sinica (English Series), Vol. 25, No. 3, 2009, pp. 481-490. doi:10.1007/s10114-008-6226-0
|
[9]
|
Y. R. Li, and B. L. Guo, “Random Attractors for Quasi-Continuous Random Dynamical Systems and Applications to Stochastic Reaction-Diffusion Equations,” Journal of Differential Equations, Vol. 245, No. 7, 2008, pp. 1775-1800. doi:10.1016/j.jde.2008.06.031
|
[10]
|
X. M. Fan, “Random Attractor for a Damped Sine-Gordon Equation with White Noise,” Pacific Journal of Mathematics, Vol. 216, No. 1, 2004, pp. 63-76.
doi:10.2140/pjm.2004.216.63
|
[11]
|
H. Crauel and F. Flandoli, “Attracors for Random Dynamical Systems,” Probability Theory and Related Fields, Vol. 100, No. 3, 1994, pp. 365-393.
doi:10.1007/BF01193705
|
[12]
|
H. Crauel and F. Flandoli, “Random Attractors,” Journal of Dynamics and Differential Equations, Vol. 9, No. 2, 1997, pp. 307-341. doi:10.1007/BF02219225
|
[13]
|
L. Arnold, “Random Dynamical Systems,” Springer-Verlag, New York, 1998.
|
[14]
|
R. Temam, “Infinite-Dimensional Dynamical System in Mechanics and Physics,” Springer-Verlag, New York, 1988, pp. 90-226. doi:10.1007/978-1-4684-0313-8
|