Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1203-1218.

• Articles • Previous Articles     Next Articles

Compact Kernel Sections and Kolmogorov Entropy for the Lattice Zakharov Equations with a Quantum Correction

 LIANG Yun-Yun1, LI Chu-Jin2, ZHAO Cai-Di1**   

  1. 1.Department of Mathematics and Information Science, Wenzhou University, Zhejiang |Wenzhou  325035;
    2.School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan |430071
  • Received:2013-06-14 Revised:2013-12-06 Online:2014-10-25 Published:2014-10-25
  • Contact: ZHAO Cai-Di,lichujin@hust.edu.cn E-mail:zhaocaidi2013@163.com
  • Supported by:

    国家自然科学基金(11271290)资助

Abstract:

This work discusses the asymptotic behavior of solutions of the modified Zakharov equations with a quantum correction
on infinite lattices. The authors use the technique of truncation function to derive the existence of compact kernel sections and give an upper bound for the Kolmogorov ε-entropy of the obtained compact kernel sections.

Key words: Lattice dynamical systems, Modified Zakharov equations with a quantum correction, Kernel sections, Kolmogorov ε-entropy

CLC Number: 

  • 35B40
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