Solitary elastic waves and elastic wavelets

被引:7
作者
Cattani, C
Rushchitskii, YY
机构
[1] Univ Roma La Sapienza, Rome, Italy
[2] Natl Acad Sci Ukraine, Inst Mech, UA-252143 Kiev, Ukraine
关键词
solitary wave; microstructural theory; wavelet application; Mexican hat; elastic wavelet;
D O I
10.1023/A:1025710412031
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A new group of wavelets that have the form of solitary waves and are the solutions of the wave equations for dispersive media is proposed to call elastic wavelets. That this group includes well-known Mexican-hat wavelets is proved. It is proposed to use elastic wavelets to study local features of the profile evolution of a solitary wave in an elastic dispersive medium.
引用
收藏
页码:741 / 752
页数:12
相关论文
共 26 条
[1]  
[Anonymous], 1999, APPL MECH REV, DOI DOI 10.1115/1.3098925
[2]  
Burrus C.S., 1998, introduction to Wavelets and Wavelet Transforms-A Primer
[3]   The subharmonic resonance and second harmonic of a plane wave in nonlinearly elastic bodies [J].
Cattani, C ;
Rushchitskii, YY .
INTERNATIONAL APPLIED MECHANICS, 2003, 39 (01) :93-98
[4]   Plane waves in cubically nonlinear elastic media [J].
Cattani, C ;
Rushchitskii, YY .
INTERNATIONAL APPLIED MECHANICS, 2002, 38 (11) :1361-1365
[5]  
CATTANI C, 2000, ACOUSTIC B, V2, P4
[6]  
CATTANI C, 2000, ACOUSTIC B, V2, P3
[7]  
DAUBECHIES I, 1982, 10 LECT WAVELETS
[8]  
de Feriet J.K., 1957, FONCTIONS PHYS MATH
[9]  
Dyakonov V.P., 2002, WAVELETS THEORY PRAC
[10]  
GERANIN VO, 2001, 16 LECT HDB