Finite dimensional behavior of global attractors for weakly damped nonlinear Schrödinger-Boussinesq equations

Physica D: Nonlinear Phenomena

Volumn 93, Issue 1-2, 1996, Pages 101-118

  Guo, Boling ^a   Chen, Fengxin ^b,c  

^a INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

^b Yun Nan University   (China)

^c Applied Mathematics Institute of Yun nan Providence   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011010120     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(95)00277-4     Document Type: Article

References (11)

1. V.G. Markhankov, On stationary solutions of Schrödinger equations with a self-consistent potential satisfying Boussinesq's equations, Phys. Lett. A 50 (1974) 42-44.
2. K. Nishikawa, H. Hajo, K. Mima and H. Ikezi, Coupled nonlinear electron-plasma and ion-acoustic waves, Phys. Rev. Lett. 33 (1974) 148-150.
3. V.E. Zakharov and A.B. Shabat, Integrable system of nonlinear equations in mathematical physics, Funct. Anal. Appl. 83 (1974) 43-53.
4. G. Boling, The global solution of the system of equations for complex Schrödinger field coupled with Boussinesq type self-consistent field, Acta Math. Sin. 26 (1987) 297-306.
5. G. Boling, The global solution of initial value equation for nonlinear Schrödinger-Boussinesq equation in 3-dimensions, Acta Math. Appl. Sini. 6 (1990) 223-233.
6. R. Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Springer, 1988).
7. J.M. Ghidaglia, Finite dimensional behavior for weakly damped driven Schrödinger equations, Analyse nonlineaire, Inst. Henri Poincaré, (1988) 365-405.
8. L. Lions and E. Magenes, Nonhomogeneous Boundary Value Problems and Applications (Springer, Berlin, 1972).
9. W. Rubin, Functional analysis (McGraw-Hill, 1973).
10. J.K. Hale, Asymptotic Behavior of Dissipative Systems, Math. Surv. Monogr., No. 25 (AMS, Providence, 1988).
11. F.Kh. Abdullaev, Dynamical chaos of solitons and nonlinear periodic waves, Phys. Rep. 179 (1989) 1-78.