Initial-boundary value problems for linear and soliton PDEs

被引：20
|
作者：
Degasperis, A [1 ]
Manakov, SV
Santini, PM
机构：
[1] Univ Roma La Sapienza, Dipartimento Fis, Sez Roma, Ist Nazl Fis Nucl, Rome, Italy
[2] RAS, LD Landau Theoret Phys Inst, Moscow 117901, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2002年 / 133卷 / 02期
关键词：
solitons; integrability; boundary conditions;
D O I：
10.1023/A:1021138525261
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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 Schrodinger equation on compact and semicompact n-dimensional domains and the nonlinear Schrodinger equation on the semi-line.
引用
收藏
页码：1475 / 1489
页数：15
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