| 51 | 3 | 8 |
| Downloads | Citas | Reads |
The Cauchy problem of a class of damped six order nonlinear wave equation was studied. For sufficiently small initial data,the existence,the uniqueness and the asymptotic behavior of solution were proved by the contraction mapping principle and integral estimates.
[1]Russell J S.Report on waves[C]//Report of 14th Meeting of the Association for the Advancement of Science.New York,1844:311-390.
[2]Wang Shubin,Chen Guowang.Small amplitude solutions of the generahzed IMBq equation[J].Math Anal Appl,2002,274(2):846-866.
[3]Cho Y,Ozawa T.Remarks on modified improved Boussinesq equations in one space dimension[J].Proc R Soc A,2006,462(5):1949-1963.
[4]Cho Y,Ozawa T.On small amplitude solutions to the generalized Boussinesq equations[J].Discrete and Continuous Dynamical Systems,2007,17(4):691-711.
[5]Necat P.Existence and blow up of solutions of the Cauchy problem of the generalized damped multidimensional improved modified Boussinesq equation[J].Z Naturforsch,2008(63a):543-552.
[6]Wang Shubin,Xu Huiyang.On the asymptotic behavior of solution for the generalized IBq equation with hydrodynamical damped tern[J].J Differ Equations,2012,252(7):4243-4258.
[7]李向正,郝祥晖.简化齐次平衡原则与Gerdjikov-Ivanov方程的精确解[J].河南科技大学学报:自然科学版,2015,36(1):82-85.
Basic Information:
China Classification Code:O175.29
Citation Information:
[1]SONG Rui-li,GUO Hong-xia,College of Information & Business,Zhongyuan University of Technology ,et al.Cauchy Problem for a Class of Damped Six Order Nonlinear Wave Equation[J].Journal of Zhengzhou University(Natural Science Edition),2015,47(01):10-13.
Fund Information:
国家自然科学基金资助项目,编号11171311;; 河南省自然科学基金资助项目,编号132300410351;; 河南省科技厅重点攻关项目,编号132102210185
2015-03-16
2015-03-16
2015-03-16