Homoclinic Orbits and Periodic Solitons for a Class of Boussinesq Equations
(1.School of Mathematics and Physics,Yunnan University,Kunming 650091,Yunan China; 2.Department of Mathematics,Qujing Teachers College,Qujing 655000,Yunan China)
Online:2005-04-15
Published:2012-09-22
About author:LI Zheng-biao(1971-),male,was born in Xuanwei Country of Yunan Province;lecturer,research area is partial differential equation.
Supported by:
Supported by National Natural Science Foundation of China(10361007) and National Natural Science Foundation of Yunnan Province(2004A0001M)
[1] DEIFT P,TOMEI C,TRUBOWITZ E.Inverse Scattering and the Boussinesq Equation [J].Commun. Pure. Appl. Math.,1982,35(3):567-628.[2] BONA J L,SACHS R L.Global Existence of Smooth Solutions and Stability of Solitary Waves for a Generalized Boussinesq Equation [J].Commun. Math. Phys.,1988,118(1):15-29.[3] WEISS J.The Painleve Property and Backlund Transformations for the Sequence of Boussinesq Equation [J].J. Math. Phys.,1985,26(2):258-269.[4] ABLOWITZ M J,HERNST B M.On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schroinger Equation [J].SIAM J. Appl. Math.,1990,50(2):339-351.[5] ABLOWITZ M J,HERNST B M,CHOBER C.On the Numerial Solution of the Sine-Gordon Equation [J].J. Comput. Phys.,1996,126(2):299-314.[6] DAI Zheng-de,HUANG Jian,JIANG Mu-rong.Homoclinic Orbits and Periodic Soliton for Boussinesq Equation with Even Constraint [J].Chaos,Soliton and Fractals,2005,26(4):1 189-1 194.