A Hierarchy of Nonlinear Lattice Soliton Equations and Its Darboux Transformation

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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Veröffentlicht in:Communications in theoretical physics 2010-01, Vol.53 (1), p.13-16
1. Verfasser: 丁海勇 孙业朋 薛丰昌
Format: Artikel
Sprache:eng
Schlagworte:
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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Zusammenfassung: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.
ISSN:0253-6102
DOI:10.1088/0253-6102/53/1/03