Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation

被引：0

作者：

Yinshan Yun

Chaolu Temuer

机构：

[1] Inner Mongolia University of Technology,College of Sciences

[2] Shanghai Maritime University,College of Arts and Sciences

来源：

Applied Mathematics and Mechanics | 2015年 / 36卷

关键词：

classical symmetry; nonclassical symmetry; symmetry classification; nonlinear wave equation; O152.5; O175.2; 22E70; 58J70;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A complete classical symmetry classification and a nonclassical symmetry classification of a class of nonlinear wave equations are given with three arbitrary parameter functions. The obtained results show that such nonlinear wave equations admit richer classical and nonclassical symmetries, leading to the conservation laws and the reduction of the wave equations. Some exact solutions of the considered wave equations for particular cases are derived.

引用

页码：365 / 378

页数：13

共 50 条

[1] Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation
Yinshan YUN
Chaolu TEMUER
Applied Mathematics and Mechanics(English Edition), 2015, 36 (03) : 365 - 378
[2] Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation
Yun, Yinshan
Temuer, Chaolu
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (03) : 365 - 378
[3] Classical and nonclassical symmetries of the nonlinear equation with dispersion and dissipation
Gurskii, VV
Samsonov, AM
Schwarz, F
TECHNICAL PHYSICS, 2003, 48 (11) : 1359 - 1363
[4] Classical and nonclassical symmetries of the nonlinear equation with dispersion and dissipation
V. V. Gurskii
A. M. Samsonov
F. Schwarz
Technical Physics, 2003, 48 : 1359 - 1363
[5] A nonlinear second-order evolution equation - classical and nonclassical symmetry analyses and their physical implications
Huber, Alfred
JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2010, 10 (1-2) : 67 - 78
[6] Nonclassical symmetry of nonlinear diffusion equation and factorization method
Murata, Souichi
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) : 3313 - 3315
[7] Nonclassical symmetry reductions for an inhomogeneous nonlinear diffusion equation
Gandarias, M. L.
Bruzon, M. S.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (03) : 508 - 516
[8] Classical and Nonclassical Discontinuities and Their Structures in Nonlinear Elastic Media with Dispersion and Dissipation
Kulikovskii, A. G.
Chugainova, A. P.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2012, 276 : S1 - S68
[9] Classical and nonclassical discontinuities and their structures in nonlinear elastic media with dispersion and dissipation
A. G. Kulikovskii
A. P. Chugainova
Proceedings of the Steklov Institute of Mathematics, 2012, 276 : 1 - 68
[10] Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source
Arrigo, D.J.
Hill, J.M.
Broadbridge, P.
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 1994, 52 (01): : 1 - 24

← 1 2 3 4 5 →