Integrable Rosochatius deformations of the restricted soliton flows
Integrable Rosochatius deformations of the restricted soliton flows
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DOI：
10.1063/1.2799263
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发表时间：
2007-10
影响因子：
1.3
通讯作者：
Ruguang Zhou
中科院分区：
文献类型：
--
作者：
Ruguang Zhou
提出了一种在Lax形式下构造受限孤子流的Rosochatius可积变形的方法。给出了受限Ablwitz-Kaup-Newell-Segur流、受限Tu-Meng流、具有Neumann型约束的受限Tu流和受限修正Korteweg-de Vries流等受限孤子流的Rosochatius可积变形及其Lax表示.此外，还得到了Jacobi-Rosochatius系统的Lax表示。
A method to construct integrable Rosochatius deformations of the restricted soliton flows in the setup of Lax formulation is presented. The integrable Rosochatius deformations of the restricted soliton flows such as the restricted Ablowitz-Kaup-Newell-Segur flow, the restricted Tu-Meng flow, the restricted Tu flow with Neumann-type constraints, and the restricted modified Korteweg–de Vries flow, together with their Lax representations, are presented. In addition, a Lax representation of the Jacobi-Rosochatius system is obtained.