Initial-Boundary Value Problems for Linear and Soliton PDEs

被引：0
|
作者：
A. Degasperis
S. V. Manakov
P. M. Santini
机构：
[1] Landau Institute for Theoretical Physics,Dipartimento di Fisica
[2] Universitá degli Studi di Roma “La Sapienza,undefined
[3] ”,undefined
[4] Sezione di Roma,undefined
[5] Istituto Nazionale di Fisica Nucleare,undefined
来源：
Theoretical and Mathematical Physics | 2002年 / 133卷
关键词：
solitons; integrability; boundary conditions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider evolution PDEs for dispersive waves in both linear and nonlinear integrable cases and formulate the associated initial-boundary value problems in the spectral space. We propose a solution method based on eliminating the unknown boundary values by proper restrictions of the functional space and of the spectral variable complex domain. Illustrative examples include the linear Schrödinger equation on compact and semicompact n-dimensional domains and the nonlinear Schrödinger equation on the semiline.
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页码：1475 / 1489
页数：14
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