Applying Symmetries to Solving a Nonlinear Acoustics Beam Model

Document Type : Original Scientific Paper

Author

Department of mathematics,Fouman and Shaft Branch, Islamic Azad University, Fouman, I. R. Iran

Abstract

For an important nonlinear acoustic model, the (2+1)-dimensional Zabolotskaya–Khokhlov(ZK), a symmetry group and the optimal systems of the symmetry subalgebra have been introduced. Then related symmetry reductions and similarity solutions have been presented via two-stage using of the symmetry group method.

Keywords

References

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[2] L. Hamedi Mobarra, On similarity solutions of the Zabolotskaya–Khokhlov acoustics model, IOSR J. Math. 14 (5) (2018) 13 − 22.
[3] J. C. Ndogmo, Symmetry properties of a nonlinear acoustics model, Nonlinear Dyn. 55 (2009) 151 − 167.
[4] O. V. Rudenko, V. A. Khokhlova and M. F. Hamilton, Historical aspects of the Khokhlov–Zabolotskaya equation and its generalizations, J. Acoust. Soc. Amer. 126 (2009) 2200.
Mathematics Interdisciplinary Research
Volume 7, Issue 2
June 2022
Pages 155-164

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