Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (6): 1146-1157.

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Finite Fractal Dimension of Kernel Sections for Long-Wave-Short-Wave Resonance Equations on Infinite Lattices

Liang Yunyun1, Zhu Zeqi2, Zhao Min3, Zhao Caidi1   

  1. 1 Department of Mathematics and Information Science, Wenzhou University, Zhejiang Wenzhou 325035;
    2 State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071;
    3 Department of Life and Environmental Science, Wenzhou University, Zhejiang Wenzhou 325035
  • Received:2015-02-10 Revised:2015-08-07 Online:2015-12-25 Published:2015-12-25

Abstract:

This paper proves an upper bound of fractal dimension of the kernel sections for the long-wave-short-wave resonance equations on infinite lattices.

Key words: Lattice long-wave-short-wave resonance equations, Kernel sections, Fractal dimension

CLC Number: 

  • O175.7
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