ASYMPTOTIC SOLUTION OF KORTEWEG-DE VRIES EQUATION WITH SLOWLY VARYING COEFFICIENTS

被引：88

作者：

JOHNSON, RS ^{[1
]}

机构：

[1] UNIV NEWCASTLE,SCH MATH,NEWCASTLE,ENGLAND

来源：

JOURNAL OF FLUID MECHANICS | 1973年 / 60卷 / OCT期

关键词：

D O I：

10.1017/S0022112073000492

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

引用

页码：813 / 824

页数：12

共 12 条

[1]

ABLOWITZ MJ, 1971, STUD APPL MATH, V50, P329

[2]

BEREZIN YA, 1964, SOVIET PHYS JETP, V19, P1880

[3] SOLITARY WAVE IN WATER OF VARIABLE DEPTH [J].

GRIMSHAW, R .

JOURNAL OF FLUID MECHANICS, 1970, 42 :639-+

[4] SOLITARY WAVE IN WATER OF VARIABLE DEPTH .2. [J].

GRIMSHAW, R .

JOURNAL OF FLUID MECHANICS, 1971, 46 (APR13) :611-&

[5]

JOHNSON RS, 1973, P CAMB PHILOS SOC, V73, P183

[6] SOME NUMERICAL SOLUTIONS OF A VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION (WITH APPLICATIONS TO SOLITARY WAVE DEVELOPMENT ON A SHELF [J].

JOHNSON, RS .

JOURNAL OF FLUID MECHANICS, 1972, 54 (JUL11) :81-&

[7] REDUCTIVE PERTUBATION METHOD IN NONLINEAR WAVE PROPAGATION .2. APPLICATION TO HYDROMAGNETIC WAVES IN COLD PLASMA [J].

KAKUTANI, T ;

ONO, H ;

TANIUTI, T ;

WEI, CC .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1968, 24 (05) :1159-&

[8]

Korteweg D.J., 1895, PHILOS MAG, V39, P422, DOI [10.1080/14786449508620739, DOI 10.1080/14786449508620739]

[9] TRANSFORMATION OF A SOLITARY WAVE OVER AN UNEVEN BOTTOM [J].

MADSEN, OS ;

MEI, CC .

JOURNAL OF FLUID MECHANICS, 1969, 39 :781-+

[10] KORTEWEG-DE VRIES EQUATION AND GENERALIZATIONS .2. EXISTENCE OF CONSERVATION LAWS AND CONSTANTS OF MOTION [J].

Miura, RM ;

GARDNER, CS ;

KRUSKAL, MD .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (08) :1204-+

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