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双约束孤立子流的可积形变
  • 期刊名称：数学年刊 A辑， 32:2（2011）161-172.
  • 时间：0
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]徐州师范大学数学科学学院,江苏徐州221116, [2]Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700,USA.
  • 相关基金：国家自然科学基金（No.10871165）资助的项目.
  • 相关项目：可积系统的可积分解、可积形变和显式解
关键词： 可积形变, 双约束孤立子流, Neumann-Rosochatius系统, Wojciechowski系统, LAX表示, Integrable deformation, Binary constrained soliton flow, Neumann Rosochatius system, Wojciechowski system, Lax representation
中文摘要：

提出了基于Lax矩阵的构造双约束孤立予流的可积形变的新方法．作为应用，导出了双约束KdV流和双约束mKdV流的可积形变，并给出了这些形变的Lax表示、r-矩阵和守恒积分．

英文摘要：

A direct method is presented for constructing integrable deformations of binary constrained soliton flows in the framework of Lax formulation. The integrable deformations of the binary constrained Korteweg de Vries flows and the binary constrained modified Korteweg de Vries flow are computed explicitly, together with their Lax representations, r matrix and conserved integrals.

同期刊论文项目
可积系统的可积分解、可积形变和显式解
期刊论文 28 会议论文 9
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