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

Qian Miao; Yunhu Wang; Yong Chen; Yunqing Yang

doi:10.1016/j.cpc.2013.09.005

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

Qian Miao
, Yunhu Wang
, Yong Chen^*
, Yunqing Yang

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

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.

Original language	English
Pages (from-to)	357-367
Number of pages	11
Journal	Computer Physics Communications
Volume	185
Issue number	1
DOIs	https://doi.org/10.1016/j.cpc.2013.09.005
State	Published - Jan 2014

Keywords

Bell polynomials
Bäcklund transformation
Conservation laws
Lax pair
Symbolic computation

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10.1016/j.cpc.2013.09.005

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title = "PDEBellII: A Maple package for finding bilinear forms, bilinear B{\"a}cklund 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 B{\"a}cklund transformations, Lax pairs and conservation laws of the KdV-type soliton equations. Some examples are given to verify the validity of our program.",

keywords = "Bell polynomials, B{\"a}cklund transformation, Conservation laws, Lax pair, Symbolic computation",

author = "Qian Miao and Yunhu Wang and Yong Chen and Yunqing Yang",

year = "2014",

month = jan,

doi = "10.1016/j.cpc.2013.09.005",

language = "英语",

volume = "185",

pages = "357--367",

journal = "Computer Physics Communications",

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AU - Miao, Qian

AU - Wang, Yunhu

AU - Chen, Yong

AU - Yang, Yunqing

PY - 2014/1

Y1 - 2014/1

N2 - 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.

AB - 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.

KW - Bell polynomials

KW - Bäcklund transformation

KW - Conservation laws

KW - Lax pair

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/84888136518

U2 - 10.1016/j.cpc.2013.09.005

DO - 10.1016/j.cpc.2013.09.005

M3 - 文章

AN - SCOPUS:84888136518

SN - 0010-4655

VL - 185

SP - 357

EP - 367

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 1

ER -

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

Abstract

Keywords

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