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

来源：

INTERNATIONAL APPLIED MECHANICS | 2003年 / 39卷 / 06期

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

页码：741 / 752

页数：12

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
Cattani, C
Rushchitskii, YY
[J]. INTERNATIONAL APPLIED MECHANICS, 2003, 39 (01) : 93 - 98
[4] Plane waves in cubically nonlinear elastic media
Cattani, C
Rushchitskii, YY
[J]. 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

← 1 2 3 →