THE KORTEWEG-DE VRIES EQUATION AND BEYOND

被引：68
|
作者：
FOKAS, AS
机构：
[1] CLARKSON UNIV, INST NONLINEAR STUDIES, POTSDAM, NY 13699 USA
[2] CLARKSON UNIV, DEPT MATH & COMP SCI, POTSDAM, NY 13699 USA
来源：
ACTA APPLICANDAE MATHEMATICAE | 1995年 / 39卷 / 1-3期
关键词：
INITIAL-BOUNDARY VALUE PROBLEM; SEMIINFINITE LINE; INTEGRABLE EQUATIONS;
D O I：
10.1007/BF00994638
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We review a new method for linearizing the initial-boundary value problem of the KdV on the semi-infinite line for decaying initial and boundary data. We also present a novel class of physically important integrable equations. These equations, which include generalizations of the KdV, of the modified KdV, of the nonlinear Schrodinger and of the N-wave interactions, are as generic as their celebrated counterparts and, furthermore it appears that they describe certain physical situations more accurately.
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页码：295 / 305
页数：11
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