QUASI-EXACT SOLUTIONS OF THE EQUATION FOR DESCRIPTION OF NONLINEAR WAVES IN A LIQUID WITH GAS BUBBLES

被引：4
|
作者：
Kochanov, Mark B. [1 ]
Kudryashov, Nikolay A. [1 ]
机构：
[1] Natl Res Nucl Univ MEPhI, Dept Appl Math, Moscow 115409, Russia
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2014年 / 74卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
Kudryashov-Sinelschikov equation; quasi-exact solution; exact solution; nonlinear ordinary differential equation; KUDRYASHOV-SINELSHCHIKOV; SOLITARY;
D O I：
10.1016/S0034-4877(15)60010-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Nonlinear partial differential equation derived by Kudryashov and Sinelshchikov for description of waves in a liquid with gas bubbles is considered. The quasi-exact solutions of this equation are found with the first, second and third order poles. Values of the residual function norm corresponding to all quasi-exact solutions are presented. It is shown that most quasi-exact solutions are transformed into exact solutions of nonlinear differential equation under some additional conditions. The found solutions can be used for description of nonlinear waves in a liquid with gas bubbles.
引用
收藏
页码：399 / 408
页数：10
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