Li Jibin,Zhang Yi.Solitary wave and chaotic behavior of traveling wave solutions for the coupled KdV equa-tions[J].Appled Mathematics and Computation,2011,218(5):1794-1797.

周义清,张善元.轴压圆柱壳中的包络孤立子及其存在条件[J].兵工学报,2010,31(7):922-926.Zhou Yiqing,Zhang Shanyuan.The envelope soliton in a elastic cylindrical shell subjected to axial compres-sion and the conditions of existence[J].Acta Arma-mentarii,2010,31(7):922-926.(in Chinese)

周义清,张涛,张善元.轴压圆柱壳受径向扰动时非线性波的传播[J].中北大学学报(自然科学版),2010,31(5):533-537.Zhou Yiqing,Zhang Tao,Zhang Shanyuan.Propaga-tion of nonlinear wave in an axially compressed cylin-drical shell subjected to radial disturbance[J].Journal of North University of China(Natural Science Edition),2010,31(5):533-537.(in Chinese)

高普云.非线性动力学[M].北京:国防科技大学出版社,2005.

Taniuti T,Wei C C.Reductive perturbation method in nonlinear wave propagation[J].J.Phys.Soc.Japan,1968,24:941-946.

陈登远.孤子引论[M].北京:科学出版社,2006.

Remoissenet M.Wave Called Solitons[M].New York:Springer-Varlag,1999.

丁启财.固体中的非线性波[M].北京:中国友谊出版公司,1985.

张善元,刘志芳,路国运.弹性固体中的非线性波[M].北京:中国建材工业出版社,2006.

Thompson J M T,Virgin L N.Spatial chaos and lo-calization phenomena in nonlinear elasticity[J].Physics Letters A,1988,126(8/9):49l-496.

Krysko V A,Awrejcewicz J.Stability,bifurcation and chaos of closed flexible cylindrical shells[J].Int.J.of Mechanical Science,2008,50:247-274.

Fujioka J,Cortes E,Perez-Pascual R.Chaotic soli-tons in the quadratic-cubic nonlinear schroo。dinger e-quation under nonlinearity management[J].Chaos(Woodbury,N.Y.),2011,21(3):033120.

刘希强.非线性发展方程显式解的研究[D].北京:中国工程物理研究院北京研究生部,2002.

黄念宁.孤子理论和微扰方法[M].上海:上海科技教育出版社,1996.

周凌云,王瑞丽,吴光敏,等.非线性物理理论及应用[M].北京:中国科学技术出版社,2000.