Non-smooth Solitary Waves in Microstructured Solids
ZHANG Fang
Naranmandula
Abstract：The improvement of the free energy form for microstructured solids was made,which contains all quadratic terms of macro-and microdeformation and cubic term of macrodeformation. According to the microstructured elastic theory modified by Engelbrecht and others, a new model capable of describing the longitudinal wave propagation in one-dimensional microstructured solids was strictly derived. The ac?quired model was studied and the peakon solutions were obtained. And thus, the existence of the peakon in microstructured solids was proved under certain conditions. This conclusion further extends the conclu?sion that only the smooth solitary wave can be found in microstructured solids.
Keywords：microstructured solidnon-smooth solitary wavenonlinear wave model
Publication Date：2015-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：3( 369-371 )