Quasi-periodic solutions of nonlinear wave equations with a prescribed potential
Quasi-periodic solutions of nonlinear wave equations with a prescribed potential
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DOI：
10.3934/dcds.2006.16.615
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发表时间：
2006-08
影响因子：
1.1
通讯作者：
Xiaoping Yuan
中科院分区：
文献类型：
--
作者：
Xiaoping Yuan
证明了对于给定的位势V，非线性波动方程u t t-u x x +V（x）u\pm u^3+O（|u| ^5）=0$服从Dirichlet边界条件。
It is proved that for a prescribed potential $V$ there are many quasi-periodic solutions of nonlinear wave equations $u_{t t}-u_{x x}+V(x)u\pm u^3+O(|u|^5)=0$ subject to Dirichlet boundary conditions.