On solving certain nonlinear acoustics problems

被引：3
|
作者：
Rubina, L. I. [1 ]
Ul'yanov, O. N. [1 ,2 ]
机构：
[1] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, Moscow 117901, Russia
[2] Ural Fed Univ Na First President Russia BN Yeltsi, St Petersburg, Russia
来源：
ACOUSTICAL PHYSICS | 2015年 / 61卷 / 05期
关键词：
nonlinear equations in partial derivatives; methods of solving differential equations; nonlinear acoustics equations; exact solutions;
D O I：
10.1134/S1063771015050152
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
Previously the authors developed a geometric method for studying and solving nonlinear equations and systems of equations with partial derivatives. This method is used in this paper to obtain a series of exact solutions to certain nonlinear acoustics equations, as well as to reduce the system of Euler equations to systems of common differential equations.
引用
收藏
页码：527 / 533
页数：7
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