INVERSE SCATTERING TRANSFORM, THE CYLINDRICAL KORTEWEG-DEVRIES EQUATION AND SIMILARITY SOLUTIONS

被引：32

作者：

JOHNSON, RS

机构：

[1] School of Mathematics, University of Newcastle upon Tyne

来源：

PHYSICS LETTERS A | 1979年 / 72卷 / 03期

关键词：

D O I：

10.1016/0375-9601(79)90002-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the inverse scattering transform for the cylindrical KdV equation can be obtained directly from that for the 2-D KdV equation. Using this transform for the similarity solution, we obtain two representations of a Painlevé transcendent. © 1979.

引用

页码：197 / 199

页数：3

共 8 条

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[4] FREEMAN NG, UNPUBLISHED
[5] JOHNSON RE, UNPUBLISHED
[6] SOLUTION OF INVERSE SCATTERING PROBLEM FOR KADOMTSEV-PETVIASHVILI EQUATION BY METHOD OF SEPARATION OF VARIABLES
JOHNSON, RS
THOMPSON, S
[J]. PHYSICS LETTERS A, 1978, 66 (04) : 279 - 281
[7] CYLINDRICAL SOLITONS
MAXON, S
VIECELLI, J
[J]. PHYSICS OF FLUIDS, 1974, 17 (08) : 1614 - 1616
[8] Zakharov V. E., 1974, FUNCT ANAL APPL+, V8, P226, DOI DOI 10.1007/BF01075696

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