摘要
对一类非线性弹性杆波动方程进行了扩展,得到广义非线性耗散超弹性杆波动方程;利用广义扩展的F-展开法,对解的形式以及约束条件进行了改进,求出了广义非线性耗散超弹性杆波动方程的类型丰富的精确解,包含周期解、尖波解、三角函数解、复数函数解等。
The generalized nonlinear hyperelastic-rod wave equation is carried on expanding,and then transfers into a generalized nonlinear dissipative hyperelastic-rod wave equation.With the help of a generalized modified F-expansion method which has improved in solution＇s form and solution＇s constraint,a series of rich type Riccati function exact solutions of the generalized nonlinear dissipative hyperelastic-rod wave equation can be obtained,including periodic solutions,peakons,triangle function solutions,plural function solutions and so on.
出处
《江南大学学报（自然科学版）》
CAS
2010年第6期727-731,共5页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金项目(90610031
70571030)
江苏省高校自然科学研究基金项目(09KJB110003)
江苏大学高级人才基金项目(07JDG054
09JDG012)
关键词
广义非线性耗散超弹性杆波动方程
广义扩展的F-展开法
精确解
generalized nonlinear dissipative hyperelastic-rod wave equation
generalized modified F-expansion method
exact solutions
