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

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dc.contributor.authorGao, Ben
dc.contributor.authorHe, Chunfang
dc.date.accessioned2022-03-28T16:31:56Z
dc.date.available2022-03-28T16:31:56Z
dc.date.issued2017-02-08
dc.description.abstractBased 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGao, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15566
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSymmetry analysis
dc.subjectBifurcation
dc.subjectExact solutions
dc.subjectNonlinear wave equation in semiconductors
dc.titleSymmetry analysis, bifurcation and exact solutions of nonlinear wave equation in semiconductors with strong spatial dispersion
dc.typeArticle

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