SOLUTIONS OF THE KORTEWEG-DEVRIES EQUATION

被引：30

作者：

ABLOWITZ, MJ ^{[1
]}

CORNILLE, H ^{[1
]}

机构：

[1] CENS,F-91190 GIF SUR YVETTE,FRANCE

来源：

PHYSICS LETTERS A | 1979年 / 72卷 / 4-5期

关键词：

D O I：

10.1016/0375-9601(79)90467-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method to construct solutions decaying like 2 x2, as |x| → ∞, to the Korteweg-de Vries equation, and its higher-order analogues is given. Solutions to the higher KdV equations, decaying like l(l + 1) x2 can also be constructed. Similar ideas apply to the other nonlinear evolution equations and we give brief results concerning the modified Korteweg-de Vries equation. © 1979.

引用

页码：277 / 280

页数：4

共 12 条

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ABLOWITZ, MJ
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[2] AIRAULT H, 1977, COMMUN PUR APPL MATH, V30, P1
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[5] GENERALIZATION OF INVERSION EQUATIONS AND APPLICATION TO NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS .1.
CORNILLE, H
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (09) : 1855 - 1869
[6] CONNECTION BETWEEN MARCHENKO FORMALISM AND N/D EQUATIONS - REGULAR INTERACTIONS .I.
CORNILLE, H
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (11) : 2268 - &
[7] SOME GENERAL RESULTS FOR INVERSE-SCATTERING THEORY AT FIXED ANGULAR-MOMENTUM OR AT FIXED ENERGY
CORNILLE, H
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1973, A 14 (01): : 141 - 160
[8] THRESHOLD-BEHAVIOR REQUIREMENTS FOR P-WAVE N/D EQUATIONS
CORNILLE, H
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[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (09) : 1501 - +
[9] N/D EQUATIONS - SELF-DAMPING MECHANISM THRESHOLD BEHAVIOUR AND SUBTRACTED EQUATIONS REGGE-POLE HYPOTHESIS
CORNILLE, H
RUBINSTEIN, G
[J]. NUOVO CIMENTO A, 1968, 56 (04): : 867 - +
[10] KORTEWEG-DEVRIES EQUATION AND GENERALIZATIONS .6. METHODS FOR EXACT SOLUTION
GARDNER, CS
GREENE, JM
KRUSKAL, MD
MIURA, RM
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1974, 27 (01) : 97 - 133

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