EXACT BLOW-UP SOLUTIONS TO THE CAUCHY-PROBLEM FOR THE DAVEY-STEWARTSON SYSTEMS

被引：59

作者：

OZAWA, T ^{[1
]}

机构：

[1] KYOTO UNIV, MATH SCI RES INST, KYOTO 606, JAPAN

来源：

PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES | 1992年 / 436卷 / 1897期

关键词：

D O I：

10.1098/rspa.1992.0022

中图分类号：

学科分类号：

摘要：

We present exact blow-up solutions to the Cauchy problem for the Davey-Stewartson systems. It is shown that for any prescribed blow-up time there is an exact solution whose mass density converges to the Dirac measure as time goes to the blow-up time and that the solution extends beyond the blow-up time and behaves like the free solution as time tends to infinity.

引用

收藏

页码：345 / 349

页数：5

相关论文

共 21 条

[1] SOLITON SOLUTIONS OF DAVEY-STEWARTSON EQUATION FOR LONG WAVES [J].

ANKER, D ;

FREEMAN, NC .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1978, 360 (1703) :529-540

[2]

Brezis H., 1980, Nonlinear Analysis Theory, Methods & Applications, V4, P677, DOI 10.1016/0362-546X(80)90068-1

[3]

CAZENAVE T, 1992, IN PRESS P R SOC EDI

[4]

CAZENAVE T, 1989, TEXTOS METODOS MATEM, V22

[5]

CAZENAVE T, 1990, RAPIDLY DECAYING SOL

[6] 3-DIMENSIONAL PACKETS OF SURFACE-WAVES [J].

DAVEY, A ;

STEWARTSON, K .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1974, 338 (1613) :101-110

[7] 2-DIMENSIONAL PACKETS OF CAPILLARY-GRAVITY WAVES [J].

DJORDJEVIC, VD ;

REDEKOPP, LG .

JOURNAL OF FLUID MECHANICS, 1977, 79 (MAR23) :703-714

[8] RECURSION OPERATORS AND BI-HAMILTONIAN STRUCTURES IN MULTIDIMENSIONS .2. [J].

FOKAS, AS ;

SANTINI, PM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 116 (03) :449-474

[9] CLASS OF NON-LINEAR SCHRODINGER EQUATIONS .2. SCATTERING THEORY, GENERAL-CASE [J].

GINIBRE, J ;

VELO, G .

JOURNAL OF FUNCTIONAL ANALYSIS, 1979, 32 (01) :33-71

[10] CLASS OF NON-LINEAR SCHRODINGER EQUATIONS .1. CAUCHY-PROBLEM, GENERAL-CASE [J].

GINIBRE, J ;

VELO, G .

JOURNAL OF FUNCTIONAL ANALYSIS, 1979, 32 (01) :1-32