Maple packages for computing Hirota's bilinear equation and multisoliton solutions of nonlinear evolution equations

Zhen Jiang Zhou; Jing Zhi Fu; Zhi Bin Li

doi:10.1016/j.amc.2010.05.012

Maple packages for computing Hirota's bilinear equation and multisoliton solutions of nonlinear evolution equations

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

32 Scopus citations

Abstract

The Hirota method for generating Hirota's bilinear equation and constructing soliton solutions of nonlinear evolution equations is discussed and illustrated. Two Maple programs Bilinearization and Multisoliton are presented to automatically calculate Hirota's bilinear equations for nonlinear evolution equations and to compute their N-soliton solutions for N = 1, 2 or 3, respectively. Different kinds of examples are used to demonstrate the effectiveness of the packages.

Original language	English
Pages (from-to)	92-104
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	217
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2010.05.012
State	Published - 1 Sep 2010

Keywords

Hirota bilinear method
Nonlinear evolution equation
Soliton solution
Symbolic computation

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10.1016/j.amc.2010.05.012

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title = "Maple packages for computing Hirota's bilinear equation and multisoliton solutions of nonlinear evolution equations",

abstract = "The Hirota method for generating Hirota's bilinear equation and constructing soliton solutions of nonlinear evolution equations is discussed and illustrated. Two Maple programs Bilinearization and Multisoliton are presented to automatically calculate Hirota's bilinear equations for nonlinear evolution equations and to compute their N-soliton solutions for N = 1, 2 or 3, respectively. Different kinds of examples are used to demonstrate the effectiveness of the packages.",

keywords = "Hirota bilinear method, Nonlinear evolution equation, Soliton solution, Symbolic computation",

author = "Zhou, \{Zhen Jiang\} and Fu, \{Jing Zhi\} and Li, \{Zhi Bin\}",

year = "2010",

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doi = "10.1016/j.amc.2010.05.012",

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AU - Zhou, Zhen Jiang

AU - Fu, Jing Zhi

AU - Li, Zhi Bin

PY - 2010/9/1

Y1 - 2010/9/1

N2 - The Hirota method for generating Hirota's bilinear equation and constructing soliton solutions of nonlinear evolution equations is discussed and illustrated. Two Maple programs Bilinearization and Multisoliton are presented to automatically calculate Hirota's bilinear equations for nonlinear evolution equations and to compute their N-soliton solutions for N = 1, 2 or 3, respectively. Different kinds of examples are used to demonstrate the effectiveness of the packages.

AB - The Hirota method for generating Hirota's bilinear equation and constructing soliton solutions of nonlinear evolution equations is discussed and illustrated. Two Maple programs Bilinearization and Multisoliton are presented to automatically calculate Hirota's bilinear equations for nonlinear evolution equations and to compute their N-soliton solutions for N = 1, 2 or 3, respectively. Different kinds of examples are used to demonstrate the effectiveness of the packages.

KW - Hirota bilinear method

KW - Nonlinear evolution equation

KW - Soliton solution

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/77955432556

U2 - 10.1016/j.amc.2010.05.012

DO - 10.1016/j.amc.2010.05.012

M3 - 文章

AN - SCOPUS:77955432556

SN - 0096-3003

VL - 217

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EP - 104

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Maple packages for computing Hirota's bilinear equation and multisoliton solutions of nonlinear evolution equations

Abstract

Keywords

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