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Stability of Solitary Waves in a Model of Isotropic Composite

Authors: Tomashpolskii V.Ya. Published: 23.04.2014
Published in issue: #4(19)/2005  
DOI:

 
Category: Applied Mathematics and Methods of Mathematical Simulation  
Keywords:

A problem on stability of a three-parametrical family of solitary waves in the isotropic elastic composite is considered. A model of such composite describes an elastic medium that infinitely extends in all directions with uniformly distributed elastic rods that are parallel to a direction of the wave propagation. It is proved that all the family is orbitally stable in a certain range of propagation velocities of the solitary waves. This stability problem is typical for analogous problems on stability of localized pulses in two-mode models of elastic media such as rods subjected to compression and bending.