BOUNDARY-CONDITIONS FOR NONLINEAR EQUATIONS COMPATIBLE WITH INTEGRABILITY

被引:5
作者
KHABIBULLIN, IT
机构
关键词
D O I
10.1007/BF01074113
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Infinite series of local boundary conditions completely compatible with the inverse scattering method are presented for the nonlinear Schrodinger equation and the sine-Gordon equation.
引用
收藏
页码:845 / 853
页数:9
相关论文
共 17 条
[1]   INVERSE SCATTERING TRANSFORM - SEMI-INFINITE INTERVAL [J].
ABLOWITZ, MJ ;
SEGUR, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (05) :1054-1056
[2]  
ABLOWITZ MJ, 1981, SIAM STUDIES APPLIED, V4
[3]  
Bibikov P N, 1989, TEOR MAT FIZ, V79, P334
[4]  
Bikbaev R.F., 1991, ALGEBR ANAL, V3, P78
[5]   INITIAL BOUNDARY-VALUE PROBLEM FOR THE NONLINEAR SCHRODINGER-EQUATION [J].
BIKBAEV, RF ;
TARASOV, VO .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (11) :2507-2516
[6]   AN INITIAL-BOUNDARY VALUE-PROBLEM FOR THE NONLINEAR SCHRODINGER-EQUATION [J].
FOKAS, AS .
PHYSICA D, 1989, 35 (1-2) :167-185
[7]  
HABIBULLIN IT, 1990, 4TH P INT WORKSH NON, V1, P259
[8]  
HABIBULLIN IT, 1992, BOUNDARY CONDITION C
[9]  
Khabibullin I. T., 1991, TEOR MAT FIZ, V86, P43
[10]  
KHABIBULLIN IT, 1992, TEOR MAT FIZ, V91, P363