GENERALIZED WRONSKIAN FORMULA FOR SOLUTIONS OF THE KDV EQUATIONS - 1ST APPLICATIONS

被引：189

作者：

MATVEEV, VB

机构：

[1] ST PETERSBURG UNIV,INST PHYS,DIV MATH PHYS,ST PETERSBURG 198904,USSR

[2] EULER INT MATH,ST PETERSBURG 191011,USSR

来源：

PHYSICS LETTERS A | 1992年 / 166卷 / 3-4期

关键词：

D O I：

10.1016/0375-9601(92)90362-P

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The well-known Wronskian formula for solutions of the KdV equation is generalized to include the description of various degenerate cases. As a first application we present a new derivation of the rational solutions of the KdV equation and some results concerning the behaviour of the so-called positon solutions of higher order.

引用

页码：205 / 208

页数：4

共 14 条

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ADLER, M
MOSER, J
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[2] RATIONAL AND ELLIPTIC SOLUTIONS OF KORTEWEG DE-VRIES EQUATION AND A RELATED MANY-BODY PROBLEM
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MOSER, J
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[3] Matveev V. B., 1991, DARBOUX TRANSFORMATI
[4] DIFFERENTIAL-DIFFERENCE EVOLUTION EQUATIONS .2. (DARBOUX TRANSFORMATION FOR THE TODA LATTICE)
MATVEEV, VB
SALLE, MA
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1979, 3 (05) : 425 - 429
[5] DARBOUX TRANSFORMATION AND THE EXPLICIT SOLUTIONS OF DIFFERENTIAL-DIFFERENCE AND DIFFERENCE-DIFFERENCE EVOLUTION EQUATIONS .1.
MATVEEV, VB
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1979, 3 (03) : 217 - 222
[6] POSITON POSITON AND SOLITON POSITON COLLISIONS - KDV CASE
MATVEEV, VB
[J]. PHYSICS LETTERS A, 1992, 166 (3-4) : 209 - 212
[7] DARBOUX TRANSFORMATION AND EXPLICIT SOLUTIONS OF THE KADOMTCEV-PETVIASCHVILY EQUATION, DEPENDING ON FUNCTIONAL PARAMETERS
MATVEEV, VB
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1979, 3 (03) : 213 - 216
[8] SOME COMMENTS ON THE RATIONAL SOLUTIONS OF THE ZAKHAROV-SCHABAT EQUATIONS
MATVEEV, VB
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1979, 3 (06) : 503 - 512
[9] MATVEEV VB, 1978, THEOR MATH PHYS, V34, P426
[10] MATVEEV VB, 1992, THEORY POSITIONS

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