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

## Description

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)