Applying Symmetries to Solving a Nonlinear Acoustics Beam Model

نویسندگان
Hamedi Mobarra, Leila ID 1

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

doi
10.22052/mir.2022.240430.1264
چکیده

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.

کلیدواژه‌ها
Zabolotskaya–Khokhlov equation (ZK), Symmetry of differential equations, Reduction of equation, Similarity solution