SOLUTION OF AN INITIAL BOUNDARY-VALUE PROBLEM FOR COUPLED NONLINEAR-WAVES

被引:137
作者
LEON, J
LATIFI, A
机构
[1] Lab. de Phys. Math., Univ. des Sci. and Tech. du Languedoc, Montpellier
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 08期
关键词
D O I
10.1088/0305-4470/23/8/013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The authors derive and study a hierarchy of nonlinear coupled evolution equations (among which is the coupled Korteveg-de Vries/Schrodinger equation) for which they prove that a mixed initial-boundary value problem is solvable. They give the method of solution together with the Backlund transformation and establish the infinite set of conserved densities. They finally discuss the applicability of such equations in plasma physics and hydrodynamics.
引用
收藏
页码:1385 / 1403
页数:19
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