Dynamics of the discrete coupled nonlinear Schrodinger-Boussinesq equations

作者：Yang Xinbo; Zhao Caidi^*; Cao Juan

来源：Applied Mathematics and Computation, 2013, 219(16): 8508-8524.

DOI：10.1016/j.amc.2013.01.053

• Global attractor
• Discrete nonlinear Schrodinger-Boussinesq equations Kolmogorov epsilon-entropy
• Upper semicontinuity

This paper studies the asymptotic behavior of solutions for the discrete coupled nonlinear Schrodinger-Boussinesq equations. The authors first prove the existence of a global attractor for the generated semigroup and then obtain an upper bound of the Kolmogorov epsilon-entropy for the obtained global attractor. Finally, they establish the upper semicontinuity of the global attractor when the infinite lattice systems are approximated by finite lattice systems.

• 出版日期2013-4-15
• 单位温州大学