Solutions to local and nonlocal integrable discrete nonlinear Schrodinger（IDNLS） equations are studied via reduction on the bilinear form. It is shown that these solutions to IDNLS equations can be expressed in term...Solutions to local and nonlocal integrable discrete nonlinear Schrodinger（IDNLS） equations are studied via reduction on the bilinear form. It is shown that these solutions to IDNLS equations can be expressed in terms of the single Casorati determinant under different constraint conditions.展开更多
With the aid of the truncated Painlev expansion, a set of rational solutions of the (2+1)-dimensional generalized Nizhnik-Novikov-Veselov (GNNV) equation with the quadratic function which contains one lump soliton is ...With the aid of the truncated Painlev expansion, a set of rational solutions of the (2+1)-dimensional generalized Nizhnik-Novikov-Veselov (GNNV) equation with the quadratic function which contains one lump soliton is derived. By combining this quadratic function and an exponential function, the fusion and fission phenomena occur between one lump soliton and a stripe soliton which are two kinds of typical local excitations. Furthermore, by adding a corresponding inverse exponential function to the above function, we can derive the solution with interaction between one lump soliton and a pair of stripe solitons. The dynamical behaviors of such local solutions are depicted by choosing some appropriate parameters.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 11705077
文摘Solutions to local and nonlocal integrable discrete nonlinear Schrodinger（IDNLS） equations are studied via reduction on the bilinear form. It is shown that these solutions to IDNLS equations can be expressed in terms of the single Casorati determinant under different constraint conditions.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11705077 and 11775104Natural Science Foundation of Zhejiang Province under Grant No.LY14A010005Scientific Research Foundation of the First-Class Discipline of Zhejiang Province(B)(No.201601)
文摘With the aid of the truncated Painlev expansion, a set of rational solutions of the (2+1)-dimensional generalized Nizhnik-Novikov-Veselov (GNNV) equation with the quadratic function which contains one lump soliton is derived. By combining this quadratic function and an exponential function, the fusion and fission phenomena occur between one lump soliton and a stripe soliton which are two kinds of typical local excitations. Furthermore, by adding a corresponding inverse exponential function to the above function, we can derive the solution with interaction between one lump soliton and a pair of stripe solitons. The dynamical behaviors of such local solutions are depicted by choosing some appropriate parameters.
