POSITON POSITON AND SOLITON POSITON COLLISIONS - KDV CASE

被引：117

作者：

MATVEEV, VB

机构：

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

[2] EULER INT INST 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)90363-Q

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

There exists a class of slowly decreasing reflectionless potentials, whose transmission coefficient a(k) = 1. We call these potentials superreflectionless. The associated solutions of the KdV-like integrable system are called positons. The interactions between solitons and Positons are studied on the basis of explicit Wronskian representations of multi-soliton-positon solutions.

引用

页码：209 / 212

页数：4

共 12 条

[1]

BEUTLER R, UNPUB

[2]

BEUTLER R, UNPUB POSITONS SOLIT

[3]

Buslaev V. S., 1979, ZAP NAUCH SEM LOMI, V84, P16

[4]

BUSLAEV VS, 1987, TEOR MAT FIZ, V70, P266

[5]

BUSLAEV VS, 1979, PROBLEMS MATH PHYSIC, V9, P16

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

LAX, PD .

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

[7] GENERALIZED WRONSKIAN FORMULA FOR SOLUTIONS OF THE KDV EQUATIONS - 1ST APPLICATIONS [J].

MATVEEV, VB .

PHYSICS LETTERS A, 1992, 166 (3-4) :205-208

[8]

Matveev VB., 1992, DARBOUX TRANSFORMATI

[9]

MATVEEV VB, 1992, THEORY POSITIONS I

[10]

NOVIKOV R, 1984, TEOR MAT FIZ, V61, P199

← 1 2 →