A nonlinear wave equation and exact periodic solutions in circular-rod waveguide

作者：Liu ZF^*; Zhang SY

来源：Acta Physica Sinica, 2006, 55(2): 628-633.

• nonlinear wave
• Possion effect
• Jacobi elliptic cosine function

Under the condition of small deformation, a new nonlinear wave equation is derived to describe nonlinear wave evolution in a nonlinear elastic circular rod by means of Hamilton principle. The nonlinear constitutive relationship proposed by Cox and transverse Possion effects are simultaneously taken into account. Nonlinear wave equation and truncated nonlinear wave equation are solved by the Jacobi elliptic cosine function expansion method. The exact periodic solutions of these nonlinear equations are obtained. The limiting conditions of these solutions are also given.

• 出版日期2006-2
• 单位太原理工大学