Symmetry analysis, bifurcation and exact solutions of nonlinear wave equation in semiconductors with strong spatial dispersion
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Date
2017-02-08
Authors
Gao, Ben
He, Chunfang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
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Keywords
Symmetry analysis, Bifurcation, Exact solutions, Nonlinear wave equation in semiconductors
Citation
Gao, B., & He, C. (2017). Symmetry analysis, bifurcation and exact solutions of nonlinear wave equation in semiconductors with strong spatial dispersion. <i>Electronic Journal of Differential Equations, 2017</i>(42), pp. 1-8.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.