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

Authors: Sheng Zhang, Qian An Zong, Qun Cao, Dong Liu

Abstract: 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conduction and flow in carbon nanotubes and nanoporous materials, this is due to the fact that continuum hypothesis is no longer valid.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.

Direct link: http://www.scientific.net/JNanoR.23.113