An implementation for the algorithm of Hirota bilinear form of PDE in the Maple system

Zhen jiang Zhou; Jing zhi Fu; Zhi bin Li

doi:10.1016/j.amc.2006.06.034

An implementation for the algorithm of Hirota bilinear form of PDE in the Maple system

Zhen jiang Zhou
, Jing zhi Fu
, Zhi bin Li^*

^*Corresponding author for this work

School of Mathematical Sciences

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

16 Scopus citations

Abstract

In this paper, based on the Hirota bilinear method, a reliable algorithm for generating bilinear form of a class of nonlinear partial differential equations (NPDE) is described and a Maple package Bilinearization is established. The package will be helpful for looking for the bilinear form of NPDE by logarithm transformation.

Original language	English
Pages (from-to)	872-877
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	183
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.06.034
State	Published - 15 Dec 2006

Keywords

Hirota bilinear form
Nonlinear partial differential equation
Symbolic computation

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10.1016/j.amc.2006.06.034

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title = "An implementation for the algorithm of Hirota bilinear form of PDE in the Maple system",

abstract = "In this paper, based on the Hirota bilinear method, a reliable algorithm for generating bilinear form of a class of nonlinear partial differential equations (NPDE) is described and a Maple package Bilinearization is established. The package will be helpful for looking for the bilinear form of NPDE by logarithm transformation.",

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year = "2006",

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AU - Zhou, Zhen jiang

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AU - Li, Zhi bin

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Y1 - 2006/12/15

N2 - In this paper, based on the Hirota bilinear method, a reliable algorithm for generating bilinear form of a class of nonlinear partial differential equations (NPDE) is described and a Maple package Bilinearization is established. The package will be helpful for looking for the bilinear form of NPDE by logarithm transformation.

AB - In this paper, based on the Hirota bilinear method, a reliable algorithm for generating bilinear form of a class of nonlinear partial differential equations (NPDE) is described and a Maple package Bilinearization is established. The package will be helpful for looking for the bilinear form of NPDE by logarithm transformation.

KW - Hirota bilinear form

KW - Nonlinear partial differential equation

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/33845782950

U2 - 10.1016/j.amc.2006.06.034

DO - 10.1016/j.amc.2006.06.034

M3 - 文章

AN - SCOPUS:33845782950

SN - 0096-3003

VL - 183

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EP - 877

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

An implementation for the algorithm of Hirota bilinear form of PDE in the Maple system

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Keywords

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