PDEBellII: A Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations

Abstract
Based on the Bell polynomials scheme, this paper presents a Maple computer algebra program PDEBellII which can automatically construct the bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type soliton equations. Some examples are given to verify the validity of our program.

Title of program: PDEBellII
Catalogue Id: AEQP_v1_0

Nature of problem
Determination of integrability of the nonlinear evolution equations, including bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws.

Versions of this program held in the CPC repository in Mendeley Data
AEQP_v1_0; PDEBellII; 10.1016/j.cpc.2013.09.005

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)