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Periodic Solution of Weakly Damped 3D Schrodinger-Boussinesq Equations

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摘要 In this paper the authors consider a model of the interaction of a nonlinear complex Schrodinger field and a real Boussinesq field in a 3D domain with the weakly damping which arises in the laser and plasma physics and prove the existence of the periodic solution.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第4期331-337,共7页 数学季刊(英文版)
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  • 1MAKHANKOV V G. On stationarysolutions of Schrǒdinger equations with a self-consistent potential satisfying Boussinesqequations[J]. Phys Lett,1974,50A:42-44.
  • 2NISHIKAWA K,HIJO H,MIMA K,IKEZI H. Coupled nonlinear electron-plasma andion-acoustic waves[J]. Phys lett,1974,33:148-150.
  • 3ZAKHAROW V E,SHABAT A B. Integrable system of nonlinear equations in mathematicalphysics[J].Funct Annal Appl,1974,8(3):43-53.
  • 4MAKHANKOV V G. Dynamics of Classical Solitions(In Nonintegrable Systems)[R].Physics Reports,A Review Section of Physics Letters,1978,35C(1):1-128.
  • 5GUO Bo-ling. The global solution of the system of equations for the complex Schrǒdingerfield coupled with Boussinesq type self-consistent field[J]. Acta MathSinica,1983,26:297-306.
  • 6GUO Bo-ling. Initial boundary value problems for one class of system ofmultidimensional nonlinear Schr(o)dinger-Boussinesq type equations[J]. J Math ResExposition,1988,8(1):61-71.
  • 7GUO Bo-ling. The global solution of the initial value problem for the nonlinearSchrǒdinger-Boussinesq equation in 3-dimension[J]. Acta Math Sinica,1990,6:223-233.
  • 8GUO Bo-ling,CHEN Feng-xin. Finite dimensional behavior of global attractors forweakly damped nonlinear Schrǒdinger-Boussinesq equation[J]. PhysicaD,1996,93(1-2):101-118.
  • 9GUO Bo-ling,HAN Yong-qian. Cauchy problem of nonlinear Schrǒdinger-Boussinesqequation in L2 and H1[C]. In:Proceedings of the conference on nonlinear evolutionequations and infinite-dimensional dynamical systems,Shanghai,China,1995. Singapore:WorldScientific,1997:66-72.
  • 10GUO Bo-ling,SHEN Long-jun. The global solution for the initial boundary valueproblem of the system of Schr(o)dinger-Boussinesq type equations in three dimensions[J].Acta Math Appl Sinica,1990,6(1):11-21.

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