Kink solitary solutions to generalized Riccati equations with polynomial coefficients

Inverse and direct balancing methods for the construction of kink solitary solutions to generalized Riccati equations with polynomial coefficients are presented in this paper. Necessary and sufficient conditions for the existence of kink solitary solutions are derived in terms of the equation's parameters and initial conditions. The proposed technique enables a straightforward derivation of parameters of solitary solutions. Computational experiments are used to demonstrate the efficiency of the proposed analytical approach.