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

页码：399 / 408

页数：10

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