Explicit homoclinic tube solutions and chaos for Zakharov system with periodic boundary

Physics Letters A - Tập 352 - Trang 411-415 - 2006
Zhengde Dai1,2, Jian Huang3, Murong Jiang4
1Guangxi Industrial College, Guangxi, Liuzhou 545005, PR China
2School of Network, Yunnan University, Kunming 650091, PR China
3School of Management Science and Engineering, Nanjing University, Nanjing 210093, PR China
4School of Information Science and Engineering, Yunnan University, Kunming 650091, PR China

Tài liệu tham khảo

Li, 1996, Commun. Pure Appl. Math., 49, 1175, 10.1002/(SICI)1097-0312(199611)49:11<1175::AID-CPA2>3.0.CO;2-9 Y. Li, Existence of chaos for a singularly perturbed NLS equation, in press Y. Li, Melnikov analysis for singularly perturbed DSII equation, in press Li, 1999, J. Nonlinear Sci., 9, 363, 10.1007/s003329900074 Shatah, 2000, Commun. Pure Appl. Math., 53, 283, 10.1002/(SICI)1097-0312(200003)53:3<283::AID-CPA1>3.0.CO;2-2 He, 1995, Phys. Rev. Lett., 74, 78, 10.1103/PhysRevLett.74.78 Tan, 1992, Phys. Rev. A, 45, 6109, 10.1103/PhysRevA.45.6109 Zaslavsky, 1985 Zakharov, 1972, Sov. Phys. JETP, 35, 908 Ablowitz, 1996, J. Comput. Phys., 126, 299, 10.1006/jcph.1996.0139 Hirota, 1976, Prog. Theor. Phys. Suppl., 59, 64, 10.1143/PTPS.59.64