Soliton Solutions for a Nonisospectral Semi-Discrete Ablowitz–Kaup–Newell–Segur Equation

Abstract

In this paper, we study a nonisospectral semi-discrete Ablowitz–Kaup–Newell–Segur equation. Multisoliton solutions for this equation are given by Hirota’s method. Dynamics of some soliton solutions are analyzed and illustrated by asymptotic analysis. Multisoliton solutions and dynamics to a nonisospectral semi-discrete modified Korteweg-de Vries equation are also discussed.

Keywords

• nonisospectral semi-discrete Ablowitz–Kaup–Newell–Segur equation
• nonisospectral semi-discrete modified Korteweg–de Vrie equation
• Hirota’s method
• soliton solutions
• dynamics