论文信息 - Darboux Transformation of a Differential–Difference Equation and Its Explicit Solutions - 字舞流文

Darboux Transformation of a Differential–Difference Equation and Its Explicit Solutions

The Darboux transformation of a differential–difference equation associated with a 3×3 matrix spectral problem is derived. As an application, explicit soliton solutions of the differential–difference equation are presented.

Geng Xian-Guo | Li Wen-Min | Geng Xian-guo | Liao Wen-min

[1] Leon A. Takhtajan,et al. Hamiltonian methods in the theory of solitons , 1987 .

[2] Recursive models in percolation theory , 1983 .

[3] I. Kunin,et al. Elastic Media with Microstructure II , 1982 .

[4] Mark J. Ablowitz,et al. Solitons and the Inverse Scattering Transform , 1981 .

[5] P. Clarkson,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering: References , 1991 .

[6] V. V. Anshelevich,et al. Symmetric random walks in random environments , 1982 .

[7] Sundaram Seshu,et al. Linear Graphs and Electrical Networks , 1961 .

[8] Xianguo Geng,et al. DARBOUX TRANSFORMATION OF THE DISCRETE ABLOWITZ–LADIK EIGENVALUE PROBLEM , 1989 .

[9] V. Zhikov,et al. AVERAGING AND G-CONVERGENCE OF DIFFERENTIAL OPERATORS , 1979 .

[10] Vladimir B. Matveev,et al. Darboux Transformation for 2 + 1 Nonlinear Evolution Equations and Localized Soliton Solutions , 1991 .

[11] S. Kirkpatrick. Percolation and Conduction , 1973 .

[12] L. Takhtajan,et al. Fundamental Continuous Models , 1987 .

[13] O. A. Ladyzhenskai︠a︡. Boundary value problems of mathematical physics , 1967 .

[14] V. Zhikov,et al. G-convergence of parabolic operators , 1981 .

[15] Xianguo Geng,et al. Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations , 1999 .