ASYMPTOTICS OF SOLUTION OF CAUCHY-PROBLEM FOR KORTEWEG-DEVRIES EQUATION WITH INITIAL DATA OF STEP TYPE

被引：20
作者：
HRUSLOV, EJ
机构：
来源：
MATHEMATICS OF THE USSR-SBORNIK | 1976年 / 28卷 / 02期
关键词：
D O I：
10.1070/SM1976v028n02ABEH001649
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：229 / 248
页数：20
相关论文
共 11 条
[1]   DECAY OF CONTINUOUS SPECTRUM FOR SOLUTIONS OF KORTEWEG-DEVRIES EQUATION [J].
ABLOWITZ, MJ ;
NEWELL, AC .
JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (09) :1277-1284
[2]  
BUSLAEV VS, 1962, INVERSE SCATTERING P, V17, P56
[3]   METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].
GARDNER, CS ;
GREENE, JM ;
KRUSKAL, MD ;
MIURA, RM .
PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&
[4]  
Gurevich, 1974, SOV PHYS JETP, V38, P291, DOI DOI 10.1134/1.558424
[5]  
HRUSLOV EJ, 1975, JETP LETT, V21, P217
[6]   SCHRODINGER OPERATORS WITH FINITE-GAP SPECTRUM AND N-SOLITON SOLUTIONS OF KORTEWEG-DEVRIES EQUATION [J].
ITS, AR ;
MATVEEV, VB .
THEORETICAL AND MATHEMATICAL PHYSICS, 1975, 23 (01) :343-355
[7]   INTEGRALS OF NONLINEAR EQUATIONS OF EVOLUTION AND SOLITARY WAVES [J].
LAX, PD .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1968, 21 (05) :467-+
[8]  
Marchenko V.A., 1974, MATEMATICHESKII SBOR, V95, P331
[9]  
Novikov S., 1974, FUNCT ANAL APPL+, V8, P236
[10]  
SHABAT AB, 1973, SOV MATH DOKL, V14, P1266
12