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^*

^*此作品的通讯作者

数学科学学院

East China Normal University
Nanjing College for Population Programme Management

科研成果: 期刊稿件 › 文章 › 同行评审

33 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	92-104
页数	13
期刊	Applied Mathematics and Computation
卷	217
期	1
DOI	https://doi.org/10.1016/j.amc.2010.05.012
出版状态	已出版 - 1 9月 2010

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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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AU - Li, Zhi Bin

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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

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

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