一类修正的KdV方程的特征问题  

On the Characteristic Problem of the Revised KdV Equation

作　　者：李文深[1] 王世光[1] 

机构地区：[1]东北林业大学数学系,哈尔滨150040

出　　处：《Journal of Mathematical Research and Exposition》1993年第3期383-388,共6页数学研究与评论（英文版）

摘　　要：本文将一类修正的Kdv方程的特征问题,化为与之等价的积分微分方程,并依不动点原理,由该积分微分方程序列而得到此类修正的Kdv方程特征问题在Ω上一致收敛的迭代解.[5] studied the solution of isolated wave of the revised KdV equation ut + auux + au2ux +4-μux3 = 0. For the characteristic problem of revised KdV equation. This paper designs a structure and gets an integral differential equation, which is equivalent to the revised KdV equation by means of Green formula and the conditions of definite solution.Using the principle of the fixed point and the sequence of the integral differential equation, we get the iteration solution of uniform converge of the characteristic problem of the revised Kdv equation on Ω.

关 键 词：KDV方程 特征问题 积分微分方程 

分 类 号：O175.2[理学—数学]