Bilinearization and Casorati determinant solution to the non-autonomous discrete KdV equation

TL;DR

This paper develops Casorati determinant solutions for the non-autonomous discrete KdV equation using bilinear formalism, presenting three distinct bilinear formulations with different origins.

Contribution

It introduces three new bilinear formulations for the non-autonomous discrete KdV equation and constructs Casorati determinant solutions based on these.

Findings

Constructed Casorati determinant solutions for the equation

Presented three different bilinear formulations

Demonstrated the effectiveness of the formalism

Abstract

Casorati determinant solution to the non-autonomous discrete KdV equation is constructed by using the bilinear formalism. We present three different bilinear formulations which have different origins.