New exact solutions to some difference differential equations

Zhen Wang; Hong Qing Zhang

doi:10.1088/1009-1963/15/10/004

New exact solutions to some difference differential equations

Zhen Wang^*
, Hong Qing Zhang

^*Corresponding author for this work

Dalian University of Technology

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

38 Scopus citations

Abstract

In this paper, we use our method to solve the extended Lotka-Volterra equation and discrete KdV equation. With the help of Maple, we obtain a number of exact solutions to the two equations including soliton solutions presented by hyperbolic functions of sinh and cosh, periodic solutions presented by trigonometric functions of sin and cos, and rational solutions. This method can be used to solve some other nonlinear difference-differential equations.

Original language	English
Article number	004
Pages (from-to)	2210-2215
Number of pages	6
Journal	Chinese Physics (Overseas Edition)
Volume	15
Issue number	10
DOIs	https://doi.org/10.1088/1009-1963/15/10/004
State	Published - 1 Oct 2006
Externally published	Yes

Keywords

Difference differential equation
Discrete KdV equation
Lotka-Volterra equation
Soliton solutions

Access to Document

10.1088/1009-1963/15/10/004

Cite this

@article{908b732ed9ad4d44b97f6e8e362b5bd7,

title = "New exact solutions to some difference differential equations",

abstract = "In this paper, we use our method to solve the extended Lotka-Volterra equation and discrete KdV equation. With the help of Maple, we obtain a number of exact solutions to the two equations including soliton solutions presented by hyperbolic functions of sinh and cosh, periodic solutions presented by trigonometric functions of sin and cos, and rational solutions. This method can be used to solve some other nonlinear difference-differential equations.",

keywords = "Difference differential equation, Discrete KdV equation, Lotka-Volterra equation, Soliton solutions",

author = "Zhen Wang and Zhang, \{Hong Qing\}",

year = "2006",

month = oct,

day = "1",

doi = "10.1088/1009-1963/15/10/004",

language = "英语",

volume = "15",

pages = "2210--2215",

journal = "Chinese Physics (Overseas Edition)",

issn = "1009-1963",

publisher = "IOP Publishing Ltd.",

number = "10",

}

TY - JOUR

T1 - New exact solutions to some difference differential equations

AU - Wang, Zhen

AU - Zhang, Hong Qing

PY - 2006/10/1

Y1 - 2006/10/1

N2 - In this paper, we use our method to solve the extended Lotka-Volterra equation and discrete KdV equation. With the help of Maple, we obtain a number of exact solutions to the two equations including soliton solutions presented by hyperbolic functions of sinh and cosh, periodic solutions presented by trigonometric functions of sin and cos, and rational solutions. This method can be used to solve some other nonlinear difference-differential equations.

AB - In this paper, we use our method to solve the extended Lotka-Volterra equation and discrete KdV equation. With the help of Maple, we obtain a number of exact solutions to the two equations including soliton solutions presented by hyperbolic functions of sinh and cosh, periodic solutions presented by trigonometric functions of sin and cos, and rational solutions. This method can be used to solve some other nonlinear difference-differential equations.

KW - Difference differential equation

KW - Discrete KdV equation

KW - Lotka-Volterra equation

KW - Soliton solutions

UR - https://www.scopus.com/pages/publications/33749007414

U2 - 10.1088/1009-1963/15/10/004

DO - 10.1088/1009-1963/15/10/004

M3 - 文章

AN - SCOPUS:33749007414

SN - 1009-1963

VL - 15

SP - 2210

EP - 2215

JO - Chinese Physics (Overseas Edition)

JF - Chinese Physics (Overseas Edition)

IS - 10

M1 - 004

ER -

New exact solutions to some difference differential equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this