Evolution Solutions of Perturbed Khokhlov-Zabolotskaya Equation

Qihong Shi; Suqin Chang

doi:10.4208/jpde.v31.n1.4

Evolution Solutions of Perturbed Khokhlov-Zabolotskaya Equation

Authors

Qihong Shi Department of Mathematics, Lanzhou University of Technology, Lanzhou 730050, China
Suqin Chang Department of Mathematics, Lanzhou University of Technology, Lanzhou 730050, China

DOI:

https://doi.org/10.4208/jpde.v31.n1.4

Keywords:

Perturbed KZ equation;exact solution;Hopf equation

Abstract

This paper is concerned with the exact solutions of Khokhlov-Zabolotskaya (KZ) equation with general perturbation. With the help of appropriate transformations and assumptions, the wave theory of Hopf equation is applied to get partial exact solutions. In addition, some examples and numerical simulations are presented to illustrate our analytical results.

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Published

2018-08-16

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Issue

Vol. 31 No. 1 (2018)

Section

Articles

How to Cite

Evolution Solutions of Perturbed Khokhlov-Zabolotskaya Equation. (2018). Journal of Partial Differential Equations, 31(1), 47-55. https://doi.org/10.4208/jpde.v31.n1.4