Reduction operators and exact solutions of variable coefficient nonlinearwave equations with power nonlinearities

Dingjiang Huang; Yan Zhu; Qinmin Yang

doi:10.3390/sym9010003

Reduction operators and exact solutions of variable coefficient nonlinearwave equations with power nonlinearities

Dingjiang Huang^*
, Yan Zhu
, Qinmin Yang

^*Corresponding author for this work

East China University of Science and Technology

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Reduction operators, i.e., the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities, are investigated within the framework of a singular reduction operator. A classification of regular reduction operators is performed with respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave models, which are invariant under certain reduction operators, are also constructed.

Original language	English
Article number	3
Journal	Symmetry
Volume	9
Issue number	1
DOIs	https://doi.org/10.3390/sym9010003
State	Published - 2017
Externally published	Yes

Keywords

Equivalence group
Exact solutions
Nonlinear wave equation
Reduction operators
Symmetry analysis

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10.3390/sym9010003

Cite this

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title = "Reduction operators and exact solutions of variable coefficient nonlinearwave equations with power nonlinearities",

abstract = "Reduction operators, i.e., the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities, are investigated within the framework of a singular reduction operator. A classification of regular reduction operators is performed with respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave models, which are invariant under certain reduction operators, are also constructed.",

keywords = "Equivalence group, Exact solutions, Nonlinear wave equation, Reduction operators, Symmetry analysis",

author = "Dingjiang Huang and Yan Zhu and Qinmin Yang",

note = "Publisher Copyright: {\textcopyright} 2017 by the authors.",

year = "2017",

doi = "10.3390/sym9010003",

language = "英语",

volume = "9",

journal = "Symmetry",

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AU - Huang, Dingjiang

AU - Zhu, Yan

AU - Yang, Qinmin

PY - 2017

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N2 - Reduction operators, i.e., the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities, are investigated within the framework of a singular reduction operator. A classification of regular reduction operators is performed with respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave models, which are invariant under certain reduction operators, are also constructed.

AB - Reduction operators, i.e., the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities, are investigated within the framework of a singular reduction operator. A classification of regular reduction operators is performed with respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave models, which are invariant under certain reduction operators, are also constructed.

KW - Equivalence group

KW - Exact solutions

KW - Nonlinear wave equation

KW - Reduction operators

KW - Symmetry analysis

UR - https://www.scopus.com/pages/publications/85011649781

U2 - 10.3390/sym9010003

DO - 10.3390/sym9010003

M3 - 文章

AN - SCOPUS:85011649781

SN - 2073-8994

VL - 9

JO - Symmetry

JF - Symmetry

IS - 1

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ER -

Reduction operators and exact solutions of variable coefficient nonlinearwave equations with power nonlinearities

Abstract

Keywords

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