1-soliton solution of the K(m,n)K(m,n) equation with generalized evolution and time-dependent damping and dispersion

This paper obtains the 1-soliton solution of the K(m,n)K(m,n) equation with generalized evolution in the presence of linear damping. The dispersion and linear damping terms have time-dependent coefficients. An exact 1-soliton solution is obtained for this equation together with the constraint between these time-dependent coefficients for the solitons to exist.