A Hierarchy of Nonlinear Lattice Soliton Equations and Its Darboux Transformation

A hierarchy of nonlinear lattice soliton equations is derived from a new discrete spectral problem. The Hamiltonian structure of the resulting hierarchy is constructed by using a trace identity formula. Moreover, a Darboux transformation is established with the help of gauge transformations of Lax p...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 53; no. 1; pp. 13 - 16
Main Author 丁海勇 孙业朋 薛丰昌
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.01.2010
Subjects
Lax对
孤子方程族
晶格孤子方程
结构构造
规范变换
谱问题
达布变换
非线性晶格
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ISSN0253-6102
DOI10.1088/0253-6102/53/1/03

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Summary:A hierarchy of nonlinear lattice soliton equations is derived from a new discrete spectral problem. The Hamiltonian structure of the resulting hierarchy is constructed by using a trace identity formula. Moreover, a Darboux transformation is established with the help of gauge transformations of Lax pairs for the typical lattice soliton equations. The exact solutions are given by applying the Darboux transformation.
Bibliography:O731
O175.29
11-2592/O3
lattice soliton equation, discrete Hamiltonian structure, Darboux transformation, exact solution
ISSN:0253-6102
DOI:10.1088/0253-6102/53/1/03