Electron. J. Differential Equations, Vol. 2017 (2017), No. 42, pp. 1-8.

Symmetry analysis, bifurcation and exact solutions of nonlinear wave equation in semiconductors with strong spatial dispersion

Ben Gao, Chunfang He

Abstract:
Based on Lie symmetry analysis and steady bifurcation method, we study the nonlinear wave equation in semiconductors with strong spatial dispersion. The similarity reductions and exact solutions are obtained based on the optimal system and power series method. Then, steady bifurcation and solitary waves are presented. Especially, the existence and solvability of solitary or period wave are discussed, and all kinds of the solitary and period wave solutions are given by direct integration.

Submitted December 28, 2016. Published Febrary 8, 2017.
Math Subject Classifications: 35J05, 35E05, 43A80, 26A18.
Key Words: Symmetry analysis; bifurcation; exact solutions; nonlinear wave equation in semiconductors.

Show me the PDF file (185 KB), TEX file for this article.

Ben Gao
College of Mathematics
Taiyuan University of Technology
Taiyuan 030024, China
email: benzi0116@163.com
Chunfang He
College of Mathematics
Taiyuan University of Technology
Taiyuan 030024, China
email: lxmath123@163.com

Return to the EJDE web page