耦合MKdV方程的条件周期解  

Conditional Periodic Solutions to Coupling MKdV Equations

作　　者：潘涛[1] 

机构地区：[1]南方冶金学院基础部

出　　处：《南方冶金学院学报》1992年第1期63-69,共7页Journal of Southern Institute of Metallurgy

摘　　要：本文考虑耦合MKdV方程的Cauchy问题的求解。我们给出一初值集合p,当初值取自p时,耦合MKdV流可以分解成两个有限维可交换的完全可积的Hamilton流,从而得到条件周期解。This paper is concerned with solving the Couchy problem of coupling MKdV equations. An initial-value set P is first gievn.when the initial values are taken from P , the flow of coupling MKdV can be divided into completely integrable Hamiltonian flows which are inter changeable. And then, the conditional periodic solutions to coupling MKdV equations can be obtained.

关 键 词：耦合NKdV方程 条件周期解 

分 类 号：O175.1[理学—数学]