Bell-Polynomial Approach and Soliton Solutions for Some Higher-Order Korteweg-de Vries Equations in Fluid Mechanics, Plasma Physics and Lattice Dynamics

He Li; Yi Tian Gao; Li Cai Liu

doi:10.1088/0253-6102/64/6/630

Bell-Polynomial Approach and Soliton Solutions for Some Higher-Order Korteweg-de Vries Equations in Fluid Mechanics, Plasma Physics and Lattice Dynamics

He Li
, Yi Tian Gao
, Li Cai Liu

School of Aeronautic Science and Engineering

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

2 Scopus citations

Abstract

The Korteweg-de Vries (KdV)-type equations have been seen in fluid mechanics, plasma physics and lattice dynamics, etc. This paper will address the bilinearization problem for some higher-order KdV equations. Based on the relationship between the bilinear method and Bell-polynomial scheme, with introducing an auxiliary independent variable, we will present the general bilinear forms. By virtue of the symbolic computation, one- and two-soliton solutions are derived.

Original language	English
Article number	630
Pages (from-to)	630-636
Number of pages	7
Journal	Communications in Theoretical Physics
Volume	64
Issue number	6
DOIs	https://doi.org/10.1088/0253-6102/64/6/630
State	Published - 1 Dec 2015

Keywords

Bell-polynomial
Korteweg-de Vries-type equations
auxiliary independent variable
soliton solutions
symbolic computation

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10.1088/0253-6102/64/6/630

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title = "Bell-Polynomial Approach and Soliton Solutions for Some Higher-Order Korteweg-de Vries Equations in Fluid Mechanics, Plasma Physics and Lattice Dynamics",

abstract = "The Korteweg-de Vries (KdV)-type equations have been seen in fluid mechanics, plasma physics and lattice dynamics, etc. This paper will address the bilinearization problem for some higher-order KdV equations. Based on the relationship between the bilinear method and Bell-polynomial scheme, with introducing an auxiliary independent variable, we will present the general bilinear forms. By virtue of the symbolic computation, one- and two-soliton solutions are derived.",

keywords = "Bell-polynomial, Korteweg-de Vries-type equations, auxiliary independent variable, soliton solutions, symbolic computation",

author = "He Li and Gao, \{Yi Tian\} and Liu, \{Li Cai\}",

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year = "2015",

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doi = "10.1088/0253-6102/64/6/630",

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AU - Li, He

AU - Gao, Yi Tian

AU - Liu, Li Cai

PY - 2015/12/1

Y1 - 2015/12/1

N2 - The Korteweg-de Vries (KdV)-type equations have been seen in fluid mechanics, plasma physics and lattice dynamics, etc. This paper will address the bilinearization problem for some higher-order KdV equations. Based on the relationship between the bilinear method and Bell-polynomial scheme, with introducing an auxiliary independent variable, we will present the general bilinear forms. By virtue of the symbolic computation, one- and two-soliton solutions are derived.

AB - The Korteweg-de Vries (KdV)-type equations have been seen in fluid mechanics, plasma physics and lattice dynamics, etc. This paper will address the bilinearization problem for some higher-order KdV equations. Based on the relationship between the bilinear method and Bell-polynomial scheme, with introducing an auxiliary independent variable, we will present the general bilinear forms. By virtue of the symbolic computation, one- and two-soliton solutions are derived.

KW - Bell-polynomial

KW - Korteweg-de Vries-type equations

KW - auxiliary independent variable

KW - soliton solutions

KW - symbolic computation

UR - https://www.scopus.com/pages/publications/84953853954

U2 - 10.1088/0253-6102/64/6/630

DO - 10.1088/0253-6102/64/6/630

M3 - 文章

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SN - 0253-6102

VL - 64

SP - 630

EP - 636

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 6

M1 - 630

ER -

Bell-Polynomial Approach and Soliton Solutions for Some Higher-Order Korteweg-de Vries Equations in Fluid Mechanics, Plasma Physics and Lattice Dynamics

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Keywords

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