Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles

被引：9

作者：

Kudryashov, Nikolay A. ^{[1
]}

Sinelshchikov, Dmitry I. ^{[1
]}

机构：

[1] Natl Res Nucl Univ, MEPhI Moscow Engn Phys Inst, Moscow 115409, Russia

来源：

REGULAR & CHAOTIC DYNAMICS | 2014年 / 19卷 / 05期

基金：

俄罗斯科学基金会;

关键词：

waves in a liquid with gas bubbles; evolution equations; exact solutions; meromorphic solutions; fifth-order KdV equation; Kaup - Kupershmidt equation; ORDINARY DIFFERENTIAL-EQUATIONS; TRANSCENDENTS; HIERARCHIES; BALL;

D O I：

10.1134/S1560354714050050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fifth-order nonlinear partial differential equation for the description of nonlinear waves in a liquid with gas bubbles is considered. Special solutions of this equation are studied. Some elliptic and simple periodic traveling wave solutions are constructed. Connection of self-similar solutions with Painlev, transcendents and their high-order analogs is discussed.

引用

页码：576 / 585

页数：10

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