非线性弹性杆内纵向波方程的孤立波解

Solitary Wave Solutions for Equations of Longitudinal Wave in A Nonlinear Elastic Rod

广义 Korteweg- de Vries- Burgers方程ut+ un- 1 ux +μux xx =δux x和非线性 Pochhamm er- Chree方程utt- uttxx - uxx - 1p( up) x x =0分别描述了非线性弹性杆内纵向应变波和形变波 .本文利用待定系数法求得了它们的孤立波解 .

Generalized Korteweg-de Vries-Burgers equationsu t+u n-1 u x+μu xxx =δu xx and nonlinear Pochhammer-Chree equationsu tt -u ttxx -u xx -1p(u p) xx =0have depicted strain wave and longitudinal deformation in a nonlinear elastic rod.Their solitary wave solutions are obtained by method of undetermined coefficient.