Lie Symmetry Reductions and Exact Solutions to the Rosenau Equation

被引：4

作者：

Gao, Ben ^{[1
]}

Tian, Hongxia ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2014年 / 2014卷

关键词：

D O I：

10.1155/2014/714635

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Lie symmetry analysis is performed on the Rosenau equation which arises in modeling many physical phenomena. The similarity reductions and exact solutions are presented. Then the exact analytic solutions are considered by the power series method.

引用

页数：6

共 18 条

[11]

HIROTA R, 1976, SUP PROG THEOR PHYS, P64

[12]

LI YS, 1999, ADV SERIES NONLINEAR

[13] Lie symmetry analysis and exact explicit solutions for general Burgers' equation [J].

Liu, Hanze ;

Li, Jibin ;

Zhang, Quanxin .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 228 (01) :1-9

[14] Lie symmetry analysis and exact solutions for the short pulse equation [J].

Liu, Hanze ;

Li, Jibin .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) :2126-2133

[15] A new conservative finite difference scheme for the Rosenau equation [J].

Omrani, Khaled ;

Abidi, Faycal ;

Achouri, Talha ;

Khiari, Noomen .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 201 (1-2) :35-43

[16] DYNAMICS OF DENSE DISCRETE-SYSTEMS - HIGH-ORDER EFFECTS [J].

ROSENAU, P .

PROGRESS OF THEORETICAL PHYSICS, 1988, 79 (05) :1028-1042

[17] A QUASI-CONTINUOUS DESCRIPTION OF A NONLINEAR TRANSMISSION-LINE [J].

ROSENAU, P .

PHYSICA SCRIPTA, 1986, 34 (6B) :827-829

[18] Decay and scattering of small solutions for Rosenau equations [J].

Wang, Hongwei ;

Wang, Shubin .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (01) :115-123

← 1 2 →