<正>On the basis of classical linear theory on longitudinal,torsional and fiexural waves in thin elastic rods,and taking finite deformation and dispersive effects into con- sideration,three kinds of nonlinear evolution equations are derived.Qualitative analysis of three kinds of nonlinear equations are presented.It is shown that these equations have homoclinic or heteroclinic orbits on the phase plane,corresponding to solitary wave or shock wave solutions,respectively.Based on the principle of homogeneous ba...
【英文摘要】
On the basis of classical linear theory on longitudinal,torsional and fiexural waves in thin elastic rods,and taking finite deformation and dispersive effects into con- sideration,three kinds of nonlinear evolution equations are derived.Qualitative analysis of three kinds of nonlinear equations are presented.It is shown that these equations have homoclinic or heteroclinic orbits on the phase plane,corresponding to solitary wave or shock wave solutions,respectively.Based on the principle of homogeneous balan...
【基金】
Project supported by the National Natural Science Foundation of China (No.10772129);
the Youth Science Foundation of Shanxi Province of China (No.2006021005)
【更新日期】
2008-08-04
【分类号】
O347.4
【正文快照】
Introduction Solid meehanies have acquired brilliant achievements in the field of elassieal linear waves，and have eontributed enormously to the development of wavet址。巧in physies[‘一2].However，studies and applieations of solitary waves in solids are
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