THE SMALL DISPERSION LIMIT OF THE KORTEWEG-DEVRIES EQUATION .2.

被引：250

作者：

LAX, PD ^{[1
]}

LEVERMORE, CD ^{[1
]}

机构：

[1] UNIV CALIF LAWRENCE LIVERMORE LAB, LIVERMORE, CA USA

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1983年 / 36卷 / 05期

关键词：

D O I：

10.1002/cpa.3160360503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：571 / 593

页数：23

共 14 条

[1]

[Anonymous], IZV ROSS AKAD NAUK M

[2] ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].

COLE, JD .

QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236

[3] MULTIPHASE AVERAGING AND THE INVERSE SPECTRAL SOLUTION OF THE KORTEWEG-DEVRIES EQUATION [J].

FLASCHKA, H ;

FOREST, MG ;

MCLAUGHLIN, DW .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (06) :739-784

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

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

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

[5] THE PARTIAL DIFFERENTIAL EQUATION UT+UUX=MU-XX [J].

HOPF, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) :201-230

[6] REFLECTIONLESS TRANSMISSION THROUGH DIELECTRICS AND SCATTERING POTENTIALS [J].

KAY, I ;

MOSES, HE .

JOURNAL OF APPLIED PHYSICS, 1956, 27 (12) :1503-1508

[7]

KOOSIS P, 1980, LMS LECTURE NOTES, V40

[8] ZERO DISPERSION LIMIT FOR THE KORTEWEG-DEVRIES KDV EQUATION [J].

LAX, PD ;

LEVERMORE, CD .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1979, 76 (08) :3602-3606

[9]

LEVERMORE CD, 1982, THESIS NEW YORK U

[10] APPLICATION OF A NON-LINEAR WKB-METHOD TO KORTEWEG-DEVRIES EQUATION [J].

MIURA, RM ;

KRUSKAL, MD .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1974, 26 (02) :376-395

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