Year: 2024
Type: article
Abstract: Up to now, many works have been conducted to deal with the rational solutions for the autonomous discrete integrable systems, while there have been few works on the rational solutions to the nonautonomous discrete integrable systems. In this paper, we investigate two nonautonomous lattice Korteweg–de Vries type equations: nonautonomous lattice potential Korteweg–de Vries equation and nonautonomous lattice potential modified Korteweg–de Vries equation. By the bilinear method, we construct the rational solutions for the aforesaid equations. These solutions are presented in terms of the Casoratian. By setting special forms of the lattice parameters of the nonautonomous lattice potential Korteweg–de Vries equation, dynamical behaviors for the first two rational solutions of this equation are analyzed with graphical illustration.
Source: Symmetry
DOI: 10.3390/sym16081037
Authors: Mingyu Ma, Songlin Zhao, Wei Feng
Institution: Zhejiang University of Technology
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,728
OpenAlex ID: W4401540853