Study on Strain Solitary Waves in the Nonlinear Elastic Circular Rod
Taking into account the nonlinear constitutive relationship and transverse Poisson effects, the propagation characteristic of nonlinear wave for one-dimension elastic thin rod is studied. With the help of Mathematic, two traveling wave solutions for this nonlinear wave equation are obtained by sine-cosine function method, which include the shock wave solution and the solitary wave solution. The necessary condition of these solutions is given also.
Zhengyi Jiang and Chunliang Zhang
Z. F. Liu et al., "Study on Strain Solitary Waves in the Nonlinear Elastic Circular Rod", Advanced Materials Research, Vols. 97-101, pp. 691-694, 2010