\(N\)-soliton solution of a lattice equation related to the discrete MKdV equation
In the previous article [``Solutions for a system of difference-differential equations related to the self-dual network equation'', Prog. Theor. Phys. 106, No. 6, 1079--1096 (2001; Zbl 1017.37036)], the author proposed a system of lattice equations related to the self-dual network equation and presented its solutions. Here, for the modification of this system in the form \[ \dot v_n=4(v_{n-1}+v_{n+1})v^2_n/(1+v_{n-1}v_n)(1+v_n v_{n+1}) \] related to the discrete MKdV equation, with an arbitrary boundary value at infinity, an \(N\)-soliton solution is obtained.
scientific article; zbMATH DE number 5909876