李文深,王世光.一类修正的KdV方程的特征问题[J].数学研究及应用,1993,13(3):383~388
一类修正的KdV方程的特征问题
On the Characteristic Problem of the Revised KdV Equation
投稿时间:1991-04-21  修订日期:1992-12-01
DOI:10.3770/j.issn:1000-341X.1993.03.012
中文关键词:  
英文关键词:
基金项目:
作者单位
李文深 东北林业大学数学系 
王世光 东北林业大学数学系 
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中文摘要:
      本文将一类修正的Kdv方程ut+auux + au2ux +μux3+β(1+u2)(1+ux2)(1+ut2)(1+ux32)(ux3+σux
英文摘要:
      [5] studied the solution of isolated wave of the revised KdV equation ut + auux + au2ux +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.
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