排序方式: 共有9条查询结果,搜索用时 31 毫秒
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We study a class of two-component forms of the famous list of the Adler-Bobenko-Suris lattice equations. The obtained two-component lattice equations are still consistent around the cube and they admit solutions with 'jumping properties' between two levels. 相似文献
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本文研究Kaup-Newell方程的Darboux变换的非线性化.基于Kaup-Newell方程的Darboux变换经过非线性化得到的映射是约束Kaup-Newell流的Bcklund变换的假设,本文获得了Darboux矩阵中的位势与特征函数之间的约束,由此实现了Kaup-Newell方程的Darboux变换的非线性化,生成了4个具有相同不变量的可积辛映射. 相似文献
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A Bcklund transformation of the restricted mKdV flow with a Rosochatius deformation is constructed.Its Lax representation and thus N invariants in involution are presented.Such Bcklund transformation is a Rosochatius deformation of that of the restricted mKdV flow. 相似文献
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提出了基于Lax矩阵的构造双约束孤立子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. 相似文献
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周汝光 《数学年刊A辑(中文版)》1998,(4)
本文发展了适用于Neumann型约束流的r矩阵方法.研究了Neumann型约束Tu流.获得了Neumann型约束Tu流的Lax表示;证明了在Dirac括号下这个Lax算子满足r矩阵关系,从而再次证明了Neumann型约束Tu流是Liouville完全可积的.另外,还利用r矩阵关系,找到了这个Neumann型约束流的一组正则变量,从而把Neumann型约束Tu流线性化. 相似文献
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周汝光 《数学物理学报(A辑)》1998,18(2):228-234
基于Lax对非线性化方法,我们以KdV方程为例给出了一个构造孤子方程的有限带势解的方法.通过Lax对非线性化KdV方程被分解成两个有限维可积系统,进而找到这些有限维可积系统公共的角-作用坐标,最终我们获得了KdV方程的有限带势解. 相似文献
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The nonlinearization method of spectral problem is developed and applied to the derivative nonlinear Schr6dinger equation (DNLS). As a result, an integrable decomposition of the DNLS equation is obtained. 相似文献
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Three novel finite-dimensional integrable Hamiltonian systems of Rosochatius type and their Lax representations are presented. We make a deformation for the Lax matrbces of the Neumann type, the Bargmann type and the high-order symmetry type of restricted cKdV flows by adding an additional term and then prove that this kind of deformation does not change the r-matrix relations. Finally the new integrable systems are generated from these deformed Lax matrices. 相似文献
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