Singularities in solutions of Burgers' equation

被引：4

作者：

Kamenshchik, AY

Khalatnikov, IM

Martellini, M

机构：

[1] A VOLTA CTR SCI CULTURE,LANDAU NETWORK COORDINAT CTR,I-22100 COMO,ITALY

[2] RUSSIAN ACAD SCI,LD LANDAU THEORET PHYS INST,MOSCOW 117940,RUSSIA

[3] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH PHYS & ASTRON,IL-69978 RAMAT AVIV,ISRAEL

[4] UNIV MILAN,DIPARTIMENTO FIS,I-20133 MILAN,ITALY

[5] UNIV MILAN,DIPARTIMENTO FIS,I-20133 MILAN,ITALY

[6] IST NAZL FIS NUCL,I-20133 MILAN,ITALY

来源：

PHYSICS LETTERS A | 1997年 / 232卷 / 1-2期

关键词：

D O I：

10.1016/S0375-9601(97)00340-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The possibility of singularities arising in Burgers' equation is discussed and some arguments are put forward in favour of the suggestion that non-singular initial conditions cannot produce the singularity in the process of time evolution in real time. However, consideration of complex time supplies us with examples of the appearance of singularities. The broad class of exactly integrable initial conditions for Burgers' equation is presented. (C) 1997 Elsevier Science B.V.

引用

页码：87 / 90

页数：4

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