The novel multisoliton solutions for the nonlinear lumped self-dual network equations, Toda lattice and KP equation were obtained by using the Hirota direct method.
Based on the inverse scattering transform for the coupled nonlinear Schrodinger （NLS） equations with vanishing boundary condition （VBC）, the multisoliton solution has been derived by some determinant techniques of...Based on the inverse scattering transform for the coupled nonlinear Schrodinger （NLS） equations with vanishing boundary condition （VBC）, the multisoliton solution has been derived by some determinant techniques of some special matrices and determinants, especially the Cauchy-Binet formula. The oneand two-soliton solutions have been given as the illustration of the general formula of the multisoliton solution. Moreover, new nonsymmetric solutions corresponding to different number of zeros of the scattering data on the upper and lower half plane are discussed.展开更多
文摘The novel multisoliton solutions for the nonlinear lumped self-dual network equations, Toda lattice and KP equation were obtained by using the Hirota direct method.
基金Supported by the National Natural Science Foundation of China(10705022),Joint Funds of the National Natural Science Foundation of China(U1232109)
文摘Based on the inverse scattering transform for the coupled nonlinear Schrodinger （NLS） equations with vanishing boundary condition （VBC）, the multisoliton solution has been derived by some determinant techniques of some special matrices and determinants, especially the Cauchy-Binet formula. The oneand two-soliton solutions have been given as the illustration of the general formula of the multisoliton solution. Moreover, new nonsymmetric solutions corresponding to different number of zeros of the scattering data on the upper and lower half plane are discussed.
