Existence of formal conservation laws of a variable-coefficient Korteweg-de Vries equation from fluid dynamics and plasma physics via symbolic computation

Chun Yi Zhang; Juan Li; Xiang Hua Meng; Tao Xu; Yi Tian Gao

doi:10.1088/0256-307X/25/3/020

Existence of formal conservation laws of a variable-coefficient Korteweg-de Vries equation from fluid dynamics and plasma physics via symbolic computation

Chun Yi Zhang^*
, Juan Li
, Xiang Hua Meng
, Tao Xu
, Yi Tian Gao

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University
Meteorology Center of Air Force Command Post
Beijing University of Posts and Telecommunications

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

9 Scopus citations

Abstract

Employing the method which can be used to demonstrate the infinite conservation laws for the standard Korteweg-de Vries (KdV) equation, we prove that the variable-coefficient KdV equation under the Painlevé test condition also possesses the formal conservation laws.

Original language	English
Pages (from-to)	878-880
Number of pages	3
Journal	Chinese Physics Letters
Volume	25
Issue number	3
DOIs	https://doi.org/10.1088/0256-307X/25/3/020
State	Published - 1 Mar 2008

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title = "Existence of formal conservation laws of a variable-coefficient Korteweg-de Vries equation from fluid dynamics and plasma physics via symbolic computation",

abstract = "Employing the method which can be used to demonstrate the infinite conservation laws for the standard Korteweg-de Vries (KdV) equation, we prove that the variable-coefficient KdV equation under the Painlev{\'e} test condition also possesses the formal conservation laws.",

author = "Zhang, \{Chun Yi\} and Juan Li and Meng, \{Xiang Hua\} and Tao Xu and Gao, \{Yi Tian\}",

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T1 - Existence of formal conservation laws of a variable-coefficient Korteweg-de Vries equation from fluid dynamics and plasma physics via symbolic computation

AU - Zhang, Chun Yi

AU - Li, Juan

AU - Meng, Xiang Hua

AU - Xu, Tao

AU - Gao, Yi Tian

PY - 2008/3/1

Y1 - 2008/3/1

N2 - Employing the method which can be used to demonstrate the infinite conservation laws for the standard Korteweg-de Vries (KdV) equation, we prove that the variable-coefficient KdV equation under the Painlevé test condition also possesses the formal conservation laws.

AB - Employing the method which can be used to demonstrate the infinite conservation laws for the standard Korteweg-de Vries (KdV) equation, we prove that the variable-coefficient KdV equation under the Painlevé test condition also possesses the formal conservation laws.

UR - https://www.scopus.com/pages/publications/41149116722

U2 - 10.1088/0256-307X/25/3/020

DO - 10.1088/0256-307X/25/3/020

M3 - 文章

AN - SCOPUS:41149116722

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VL - 25

SP - 878

EP - 880

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 3

ER -

Existence of formal conservation laws of a variable-coefficient Korteweg-de Vries equation from fluid dynamics and plasma physics via symbolic computation

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