Lame function and invariants of multi-order exact solutions among nonlinear evolution equations

被引：14

作者：

Liu, SK ^{[1
]}

Chen, H ^{[1
]}

Fu, ZT ^{[1
]}

Liu, SD ^{[1
]}

机构：

[1] Peking Univ, Sch Phys, Beijing 100871, Peoples R China

来源：

ACTA PHYSICA SINICA | 2003年 / 52卷 / 08期

关键词：

Lame function; Jacobi elliptic function; multi-order exact solution; nonlinear evolution equation; perturbation method; invariants;

D O I：

10.7498/aps.52.1842

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Applying the perturbation method, the nonlinear evolution equations are expanded as multi-order approximate equations. And based on Lame equation and Lame function, these multi-order approximate equations can be solved by Jacobi elliptic function expansion method, where multi-order exact solutions of nonlinear evolution equations are derived. Then the invariants of the multi-order exact solutions are found among different nonlinear evolution equations.

引用

页码：1842 / 1847

页数：6

共 27 条

[1] Extended tanh-function method and its applications to nonlinear equations
Fan, EG
[J]. PHYSICS LETTERS A, 2000, 277 (4-5) : 212 - 218
[2] Connections among homogeneous balance method, Weiss-Tabor-Carnevale method and Clarkson-Kruskal method
Fan, EG
[J]. ACTA PHYSICA SINICA, 2000, 49 (08) : 1409 - 1412
[3] FAN EG, 1998, ACTA PHYS SINICA, V47, P353
[4] EXACT N-SOLITON SOLUTIONS OF WAVE-EQUATION OF LONG WAVES IN SHALLOW-WATER AND IN NONLINEAR LATTICES
HIROTA, R
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (07) : 810 - 814
[5] EXACT-SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION
KUDRYASHOV, NA
[J]. PHYSICS LETTERS A, 1990, 147 (5-6) : 287 - 291
[6] Explicit exact solutions to nonlinear coupled differential equations
Li, ZB
Yao, RX
[J]. ACTA PHYSICA SINICA, 2001, 50 (11) : 2062 - 2067
[7] Exact solitary wave and soliton solutions of the generalized fifth order KdV equation
Li, ZB
Pan, SQ
[J]. ACTA PHYSICA SINICA, 2001, 50 (03) : 402 - 405
[8] The envelope periodic solutions to nonlinear wave equations with Jacobi elliptic function
Liu, SD
Fu, ZT
Liu, SK
Zhao, Q
[J]. ACTA PHYSICA SINICA, 2002, 51 (04) : 718 - 722
[9] New periodic solutions to a kind of nonlinear wave equations
Liu, SK
Fu, ZT
Liu, SD
Zhao, Q
[J]. ACTA PHYSICA SINICA, 2002, 51 (01) : 10 - 14
[10] Expansion method about the Jacobi elliptic function and its applications to nonlinear wave equations
Liu, SK
Fu, ZT
Liu, SD
Zhao, Q
[J]. ACTA PHYSICA SINICA, 2001, 50 (11) : 2068 - 2073

← 1 2 3 →