INTEGRABLE INITIAL-BOUNDARY-VALUE PROBLEMS

被引:17
作者
KHABIBULLIN, IT
机构
关键词
D O I
10.1007/BF01018494
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Initial-boundary-value problems on a half-axis for integrable equations are considered. Solutions of an initial-boundary-value problem for the nonlinear Schrodinger equation and the sine-Gordon equation for definite types of boundary conditions are described in terms of scattering data.
引用
收藏
页码:28 / 36
页数:9
相关论文
共 15 条
[1]  
Bibikov P N, 1989, TEOR MAT FIZ, V79, P334
[2]  
BIKBAEV RF, 1989, MATH NOTES+, V45, P3
[3]  
Bullough R., 1980, SOLITONS
[4]   The Burgers equation on the semi-infinite and finite intervals [J].
Calogero, F. ;
De Lillo, S. .
NONLINEARITY, 1989, 2 (01) :37-43
[5]  
DUBROVIN BA, 1976, USP MAT NAUK, V31, P55
[6]  
FOKAS AS, 1987, INS81 PREPR
[7]  
HABIBULLIN IT, 1990, NONLINEAR TURBULENT
[8]  
KHABIBULLIN IT, 1991, MAT ZAM, V49, P40
[9]  
MANAKOV SV, 1986, TEOR MAT FIZ, V69, P40
[10]  
MOSER J, 1975, LECTURE NOTES PHYSIC, V38, P467