Separation Transformation and New Exact Solutions of the (N+1)-dimensional Dispersive Double sine-Gordon Equation

被引：1

作者：

Tian Ye ^{[2
]}

Chen Jing ^{[3
]}

Zhang Zhi-Fei ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Math & Stat, Wuhan 430074, Peoples R China

[2] Hebei North Univ, Dept Phys, Coll Sci, Zhangjiakou 075000, Peoples R China

[3] Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2012年 / 58卷 / 03期

关键词：

dispersive double sine-Gordon equation; separation transformation; Jacobian elliptic function; F-expansion method; NONLINEAR-WAVE EQUATIONS; F-EXPANSION METHOD; DE-VRIES EQUATION; SOLITON-EQUATIONS; DYNAMICS; KINK;

D O I：

10.1088/0253-6102/58/3/13

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the separation transformation approach is extended to the (N + 1)-dimensional dispersive double sine-Gordon equation arising in many physical systems such as the spin dynamics in the B phase of He-3 superfluid. This equation is first reduced to a set of partial differential equations and a nonlinear ordinary differential equation. Then the general solutions of the set of partial differential equations are obtained and the nonlinear ordinary differential equation is solved by F-expansion method. Finally, many new exact solutions of the (N + 1)-dimensional dispersive double sine-Gordon equation are constructed explicitly via the separation transformation. For the case of N > 2, there is an arbitrary function in the exact solutions, which may reveal more novel nonlinear structures in the high-dimensional dispersive double sine-Gordon equation.

引用

页码：398 / 404

页数：7

共 50 条

[41] Exact solutions of semi-discrete sine-Gordon equation
Hanif, Y.
Saleem, U.
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (05):
[42] Exact solutions of semi-discrete sine-Gordon equation
Y. Hanif
U. Saleem
[J]. The European Physical Journal Plus, 134
[43] SOLUTIONS OF 2-DIMENSIONAL SINE-GORDON EQUATION
ZAGRODZINSKI, J
[J]. PHYSICS LETTERS A, 1976, 57 (03) : 213 - 214
[44] Exact Jacobian elliptic function solutions to sine-Gordon equation
Fu, ZT
Yao, ZH
Liu, SK
Liu, SD
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 44 (01) : 23 - 30
[45] Solutions of the three-dimensional sine-Gordon equation
E. L. Aero
A. N. Bulygin
Yu. V. Pavlov
[J]. Theoretical and Mathematical Physics, 2009, 158
[46] Exact traveling wave solutions for the (2+1)-dimensional double sine-Gordon equation using direct integral method
Wang, Hui
Fu, Yechen
[J]. APPLIED MATHEMATICS LETTERS, 2023, 146
[47] Symmetries and exact solutions of a (2+1)-dimensional sine-Gordon system
Clarkson, PA
Mansfield, EL
Milne, AE
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 354 (1713): : 1807 - 1835
[48] Bilinearization and soliton solutions of the N=1 supersymmetric sine-Gordon equation
Grammaticos, B
Ramani, A
Carstea, AS
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (23): : 4881 - 4886
[49] New exact solutions for an (N+1)-dimensional generalized Boussinesq equation
Guo, Yunxi
Lai, Shaoyong
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) : 2863 - 2873
[50] A NEW METHOD FOR CONSTRUCTING SOLUTIONS OF THE SINE-GORDON EQUATION
POPPE, C
[J]. LECTURE NOTES IN MATHEMATICS, 1983, 1017 : 525 - 532

← 1 2 3 4 5 →