N-soliton-like and double Casoratian solutions of a nonisospectral Ablowitz–Ladik equation
Copyright policy )N-soliton-like and double Casoratian solutions of a nonisospectral Ablowitz–Ladik equation
A bilinear form of a nonisospectral differential-difference equation related to the Ablowitz–Ladik (AL) spectral problem is derived by a transformation of dependent variables. Exact solutions to the resulting bilinear equation are found. The [Formula: see text]-soliton-like solutions and the double Casoratian solutions are derived by means of Hirota’s direct method and the double Casoratian technique, respectively. Moreover, the connection between those two classes of solutions is explored.
- Shanghai University China (People's Republic of)
- Florida Southern College United States
- University of South Florida United States
- Xuzhou University of Technology China (People's Republic of)
- Shanghai University China (People's Republic of)
nonisospectral Ablowitz-Ladik equation, Soliton equations, Soliton solutions, double Casoratian solution, bilinear form, soliton-like solution
nonisospectral Ablowitz-Ladik equation, Soliton equations, Soliton solutions, double Casoratian solution, bilinear form, soliton-like solution
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