STABILITY OF SOME FINITE-DIFFERENCE SCHEMES FOR KORTEWEG-DEVRIES EQUATION

被引：34

作者：

GODA, K ^{[1
]}

机构：

[1] UNIV TOKYO, FAC ENGN, DEPT APPL PHYS, TOKYO 113, JAPAN

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1975年 / 39卷 / 01期

关键词：

D O I：

10.1143/JPSJ.39.229

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：229 / 236

页数：8

共 17 条

[1]

BEREZIN YA, 1967, SOV PHYS JETP-USSR, V24, P1049

[2] Partial differential equations of mathematical physics [J].

Courant, R ;

Friedrichs, K ;

Lewy, H .

MATHEMATISCHE ANNALEN, 1928, 100 :32-74

[3] METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&

[4] NONLINEAR HYDROMAGNETIC SOLITARY WAVES IN A COLLISION-FREE PLASMA WITH ISOTHERMAL ELECTRON PRESSURE [J].

KAKUTANI, T ;

KAWAHARA, T ;

TANIUTI, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1967, 23 (05) :1138-&

[5] KORTEWEG-DEVRIES EQUATION .I. GLOBAL EXISTENCE OF SMOOTH SOLUTIONS [J].

KAMETAKA, Y .

PROCEEDINGS OF THE JAPAN ACADEMY, 1969, 45 (07) :552-&

[6]

Korteweg D J, 1895, PHILOS MAG, V5, P422, DOI DOI 10.1080/14786449508620739

[7] INTEGRALS OF NONLINEAR EQUATIONS OF EVOLUTION AND SOLITARY WAVES [J].

LAX, PD .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1968, 21 (05) :467-+

[8]

LAX PD, 1960, B AM MATH SOC, V66, P32

[9]

Lees M, 1960, T AM MATH SOC, V94, P58, DOI 10.1090/S0002-9947-1960-0114045-1

[10] EXISTENCE OF UNBOUNDED SOLUTIONS OF KORTEWEG-DEVRIES EQUATION [J].

MENIKOFF, A .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1972, 25 (04) :407-+

← 1 2 →