On the general structure of nonlinear evolution equations and their Backlund transformations connected with the matrix non-stationary Schrodinger spectral problem
On the general structure of nonlinear evolution equations and their Backlund transformations connected with the matrix non-stationary Schrodinger spectral problem
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非线性演化方程的一般结构及其与矩阵非平稳薛定谔谱问题相关的贝克兰德变换
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
B. Konopelchenko
中科院分区：
文献类型：
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作者：
B. Konopelchenko
找到了矩阵非平稳薛定谔谱问题可积的1+2维非线性演化方程的一般形式。构造了这些方程的无穷维贝克兰德变换群，并得到了非线性叠加原理。
The general form of nonlinear evolution equations in 1+2 dimensions integrable by the matrix non-stationary Schrodinger spectral problem is found. The infinite-dimensional group of Backlund transformations for these equations is constructed and the nonlinear superposition principle is obtained.