An algorithm of constructing the conservation laws of nonlinear evolution equations

Ruo Xia Yao; Zhi Bin Li

doi:10.1142/s0217979204025828

An algorithm of constructing the conservation laws of nonlinear evolution equations

Ruo Xia Yao
, Zhi Bin Li^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University
Weinan Teachers University

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

Abstract

An algorithm of constructing the polynomial type conservation laws of nonlinear evolution equations (either parameterized or non-parameterized) is described and a Maple package CONSLAW to automate the computation is presented. For parameterized equation(s), CONSLAW can determine the parameters constraints automatically such that a sequence of conservation laws exist.

Original language	English
Pages (from-to)	2633-2639
Number of pages	7
Journal	International Journal of Modern Physics B
Volume	18
Issue number	17-19
DOIs	https://doi.org/10.1142/s0217979204025828
State	Published - 30 Jul 2004

Keywords

Conservation law
Integrability
Nonlinear evolution equation
Scaling symmetry
Symbolic computation

Access to Document

10.1142/s0217979204025828

Cite this

@article{d05f0c2b2e804544b2738d6c8845a12d,

title = "An algorithm of constructing the conservation laws of nonlinear evolution equations",

abstract = "An algorithm of constructing the polynomial type conservation laws of nonlinear evolution equations (either parameterized or non-parameterized) is described and a Maple package CONSLAW to automate the computation is presented. For parameterized equation(s), CONSLAW can determine the parameters constraints automatically such that a sequence of conservation laws exist.",

keywords = "Conservation law, Integrability, Nonlinear evolution equation, Scaling symmetry, Symbolic computation",

author = "Yao, \{Ruo Xia\} and Li, \{Zhi Bin\}",

year = "2004",

month = jul,

day = "30",

doi = "10.1142/s0217979204025828",

language = "英语",

volume = "18",

pages = "2633--2639",

journal = "International Journal of Modern Physics B",

issn = "0217-9792",

publisher = "World Scientific",

number = "17-19",

}

TY - JOUR

T1 - An algorithm of constructing the conservation laws of nonlinear evolution equations

AU - Yao, Ruo Xia

AU - Li, Zhi Bin

PY - 2004/7/30

Y1 - 2004/7/30

N2 - An algorithm of constructing the polynomial type conservation laws of nonlinear evolution equations (either parameterized or non-parameterized) is described and a Maple package CONSLAW to automate the computation is presented. For parameterized equation(s), CONSLAW can determine the parameters constraints automatically such that a sequence of conservation laws exist.

AB - An algorithm of constructing the polynomial type conservation laws of nonlinear evolution equations (either parameterized or non-parameterized) is described and a Maple package CONSLAW to automate the computation is presented. For parameterized equation(s), CONSLAW can determine the parameters constraints automatically such that a sequence of conservation laws exist.

KW - Conservation law

KW - Integrability

KW - Nonlinear evolution equation

KW - Scaling symmetry

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/7244254237

U2 - 10.1142/s0217979204025828

DO - 10.1142/s0217979204025828

M3 - 文章

AN - SCOPUS:7244254237

SN - 0217-9792

VL - 18

SP - 2633

EP - 2639

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 17-19

ER -

An algorithm of constructing the conservation laws of nonlinear evolution equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this