Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
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DOI：
10.1007/bf02104499
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发表时间：
1990-02
影响因子：
2.4
通讯作者：
C. E. Wayne
中科院分区：
文献类型：
--
作者：
C. E. Wayne
研究了非线性波动方程un-uχX+ v（x）u（x91）+ εu3（x，t）= 0.结果表明，对于一个大类的潜力，v（x\一个可以使用KAM方法来构造周期和拟周期解（在时间上）这个方程。
In this paper the nonlinear wave equation un—uχX+ v (x) u (x91)+ εu3 (x, t)= 0 is studied. It is shown that for a large class of potentials, v (x\one can use KAM methods to construct periodic and quasi-periodic solutions (in time) for this equation.