Differential-Difference Equation Arising in Nanotechnology and It's Exact Solutions

被引：7

作者：

Zhang, Sheng ^{[1
]}

Zong, Qian-An ^{[1
]}

Gao, Qun ^{[1
]}

Liu, Dong ^{[1
]}

机构：

[1] Bohai Univ, Dept Math, Jinzhou 121013, Peoples R China

来源：

JOURNAL OF NANO RESEARCH | 2013年 / 23卷

关键词：

Differential-difference equation; exact solution;

D O I：

10.4028/www.scientific.net/JNanoR.23.113

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

Differential-difference model equations are often considered as an alternative approach to describing some phenomena arising in heat/electron conduction and flow in carbon nanotubes and nanoporous materials, this is due to the fact that continuum hypothesis is no longer valid. A (2+1)-dimensional nonlinear differential-difference equation with an arbitrary function is introduced and new exact solutions are obtained.

引用

页码：113 / 116

页数：4

共 50 条

[41] ENTIRE SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATION AND FERMAT TYPE q-DIFFERENCE DIFFERENTIAL EQUATIONS
Chen, Min Feng
Gao, Zong Sheng
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 30 (04): : 447 - 456
[42] Uniformly constructing exact discrete soliton solutions and periodic solutions to differential-difference equations
Wu, Guo-cheng
Xia, Tie-cheng
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2351 - 2354
[43] EXACT AND INEXACT SOLUTIONS TO A DIFFERENCE-DIFFERENTIAL EQUATION
SCHULMAN, LS
AMERICAN JOURNAL OF PHYSICS, 1983, 51 (01) : 87 - 88
[44] Developed analytical approach for a special kind of differential-difference equation: Exact solution
Seddek, Laila F.
Ebaid, Abdelhalim
El-Zahar, Essam R.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 33 (04): : 381 - 389
[45] A generalized coth-function method for exact solution of differential-difference equation
Yang, Zonghang
Hon, Y. C.
CHAOS SOLITONS & FRACTALS, 2007, 33 (05) : 1694 - 1702
[46] Closed solutions to a differential-difference equation and an associated plate solidification problem
Layeni, Olawanle P.
Akinola, Adegbola P.
Johnson, Jesse V.
SPRINGERPLUS, 2016, 5
[47] A note on partial differential-difference equation
Lee, N
Sibuya, Y
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2001, 7 (01) : 13 - 20
[48] SOME RESULTS ON DIFFERENTIAL-DIFFERENCE EQUATION
BAILEY, HR
WILLIAMS, MZ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 15 (03) : 569 - &
[49] Construction of Quasi-Periodic Wave Solutions for Differential-Difference Equation
Hon, Y. C.
Wang, Qi
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2012, 67 (1-2): : 21 - 28
[50] The new exact solutions of Volterra difference-differential equation and KdV difference-differential equation
Taogetusang
Sirendaoerji
ACTA PHYSICA SINICA, 2009, 58 (09) : 5887 - 5893

← 1 2 3 4 5 →