NONLOCAL INTEGRABLE PARTNERS TO GENERALIZED MKDV AND 2-DIMENSIONAL TODA LATTICE EQUATION IN THE FORMALISM OF A DRESSING METHOD WITH QUANTIZED SPECTRAL PARAMETER

被引：12

作者：

DEGASPERIS, A

LEBEDEV, D

OLSHANETSKY, M

PAKULIAK, S

PERELOMOV, A

SANTINI, P

机构：

[1] KIEV THEORET PHYS INST,KIEV 252130,UKRAINE,USSR

[2] NATL INST NUCL PHYS,ROME,ITALY

[3] MOSCOW THEORET & EXPTL PHYS INST,MOSCOW 117259,USSR

[4] UNIV BONN,INST PHYS,W-5300 BONN 1,GERMANY

[5] UNIV BONN,MAX PLANCK INST MATH,W-5300 BONN 1,GERMANY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 141卷 / 01期

关键词：

D O I：

10.1007/BF02100008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two new hierarchies, MILW2 and a two-dimensional nonlocal Toda lattice are constructed. The characteristic property of the first one is the connection with the ILW2 hierarchy by means of gl(2) Miura transformation. On the other hand, MILW2 equations turn out to be symmetry equations for a two-dimensional nonlocal Toda lattice. A new version of the dressing technique with quantized spectral parameter is proposed.

引用

页码：133 / 151

页数：19

共 16 条

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[2]

ABLOWITZ M, 1982, J MATH PHYS, V23, P564

[3]

ABLOWITZ M, 1979, PHYS LETT A, V73, P283

[4]

DEGASPERIS A, 1990, GENERALIZED INTERMED