Multi-pole solutions and their asymptotic analysis of the focusing AblowitzLadik equation

For the focusing AblowitzLadik equation, the double- and triple-pole solutions are derived from its multi-soliton solutions via some limit technique. Also, the asymptotic analysis is performed for such two multi-pole solutions (MPSs) by considering the balance between exponential and algebraic terms. Like the continuous nonlinear Schrdinger equation, the discrete MPSs describe the elastic interactions of multiple solitons with the same …