SIMILARITY SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI EQUATION

被引：26

作者：

TAJIRI, M ^{[1
]}

NISHITANI, T ^{[1
]}

KAWAMOTO, S ^{[1
]}

机构：

[1] UNIV OSAKA PREFECTURE,COLL ENGN,DEPT ELECT ENGN,SAKAI,OSAKA 591,JAPAN

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1982年 / 51卷 / 07期

关键词：

D O I：

10.1143/JPSJ.51.2350

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：2350 / 2356

页数：7

共 14 条

[1] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .2. [J].

ABLOWITZ, MJ ;

RAMANI, A ;

SEGUR, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (05) :1006-1015

[2] EXACT LINEARIZATION OF A PAINLEVE TRANSCENDENT [J].

ABLOWITZ, MJ ;

SEGUR, H .

PHYSICAL REVIEW LETTERS, 1977, 38 (20) :1103-1106

[3]

ABLOWITZ MJ, 1978, NONLINEAR EVOLUTION, P9

[4]

Bluman G.W., 1974, SIMILARITY METHODS D

[5]

CHESTER W, 1977, J I MATH APPL, V19, P343

[6] EXACT N-SOLITON SOLUTIONS OF WAVE-EQUATION OF LONG WAVES IN SHALLOW-WATER AND IN NONLINEAR LATTICES [J].

HIROTA, R .

JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (07) :810-814

[7] KADOMSTEV-PETVIASHVILE AND 2-DIMENSIONAL SINE-GORDON EQUATIONS - REDUCTION TO PAINLEVE TRANSCENDENTS [J].

KALIAPPAN, P ;

LAKSHMANAN, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (10) :L249-L252

[8]

NISHITANI T, UNPUB PHYS LETT A

[9] N-SOLITON SOLUTION OF 2-DIMENSIONAL KORTEWEG-DEVRIES EQUATION [J].

SATSUMA, J .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1976, 40 (01) :286-290

[10] INVARIANT SOLUTIONS OF KORTEWEG-DEVRIES EQUATION [J].

SHEN, H ;

AMES, WF .

PHYSICS LETTERS A, 1974, A 49 (04) :313-314

← 1 2 →