On the Solutions of Some Boundary Value Problems for the General Kdv Equation

被引：0

作者：

Ignatyev, M. Yu. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Math, Saratov 410012, Russia

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2014年 / 17卷 / 3-4期

关键词：

KdV hierarchy; Boundary value problems; Integrability; Inverse spectral method; NONLINEAR SCHRODINGER-EQUATION; HALF-LINE; EVOLUTION-EQUATIONS;

D O I：

10.1007/s11040-014-9167-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a class of partial differential equations, which are linear combinations, with constant coefficients, of the classical flows of the KdV hierarchy. A boundary value problem with inhomogeneous boundary conditions of a certain special form is studied. We construct some class of solutions of the problem using the inverse spectral method.

引用

页码：493 / 509

页数：17

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