An inversion formula for recursion operator of KP hierarchy

被引：1

作者：

Tu, Guizhang ^{[1
]}

机构：

[1] Shaoxing Univ, Ctr Nonlinear Sci, Shaoxing, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 12期

基金：

中国国家自然科学基金;

关键词：

BI-HAMILTONIAN STRUCTURES; INTEGRABLE SYSTEMS; TRACE IDENTITY; MULTIDIMENSIONS; EQUATIONS;

D O I：

10.1063/1.4938572

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An inversion formula is established for the recursion operator Psi of the KP hierarchy. The formula explains in part how operators {(partial derivative/partial derivative y)(i)} are cancelled each other in certain combination of Psi(i) (partial derivative/partial derivative y)(j) that is essential for generating the KP hierarchy. (C) 2015 AIP Publishing LLC.

引用

页数：7

共 28 条

[1] [Anonymous], 1993, DIRAC STRUCTURES INT
[2] THE HAMILTONIAN-STRUCTURE OF THE (2+1)-DIMENSIONAL ABLOWITZ-KAUP-NEWELL-SEGUR HIERARCHY
ATHORNE, C
DORFMAN, IY
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (08) : 3507 - 3517
[3] Cheng J., 2011, THESIS
[4] CONSTRAINTS OF THE 2+1 DIMENSIONAL INTEGRABLE SOLITON SYSTEMS
CHENG, Y
LI, YS
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (02): : 419 - 431
[5] Chvartatskyi O. I., 2013, MAT STUDII, V39, P164
[6] DICKEY LA, 2003, SOLITON EQUATIONS HA
[7] HAMILTONIAN THEORY OVER NONCOMMUTATIVE RINGS AND INTEGRABILITY IN MULTIDIMENSIONS
DORFMAN, IY
FOKAS, AS
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (07) : 2504 - 2514
[8] ON THE NONSYMMETRIC NOVIKOV-VESELOV HIERARCHY
DORFMAN, IY
ATHORNE, C
[J]. PHYSICS LETTERS A, 1993, 182 (4-6) : 369 - 372
[9] Druitt F., 2005, THESIS
[10] Fokas A. S., 1990, PREPRINT

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