The Auto-Backlund transformations for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

被引:12
作者
Kaplan, Melike [1 ]
Akbulut, Arzu [1 ]
Bekir, Ahmet [1 ]
机构
[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey
来源
ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES | 2017年 / 1798卷
关键词
D O I
10.1063/1.4972663
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, the homogeneous balance method is used to construct Auto-Backlund transformation of the Boiti-Leon-Manna-Pempinelli (BLMP) equation. With the aid of the transformations founded in this paper and Maple packet programme, abundant exact and explicit solutions to the BLMP equation are constructed.
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页数:6
相关论文
共 15 条
[1]  
Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering
[2]   New solitons and periodic wave solutions for some nonlinear physical models by using the sine-cosine method [J].
Bekir, Ahmet .
PHYSICA SCRIPTA, 2008, 77 (04)
[3]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[4]   New exact solutions to a system of coupled KdV equations [J].
Fan, EG ;
Zhang, HQ .
PHYSICS LETTERS A, 1998, 245 (05) :389-392
[6]  
HUANG XC, 1982, J PHYS A-MATH GEN, V15, P3367, DOI 10.1088/0305-4470/15/10/038
[7]   New applications of developed Jacobi elliptic function expansion methods [J].
Liu, GT ;
Fan, TY .
PHYSICS LETTERS A, 2005, 345 (1-3) :161-166
[8]  
Matveev V. B., 1991, Darboux Transformations and Solitons
[9]  
Miura M.R., 1978, Backlund Transformation
[10]  
Najafi M., 2013, Int. J. Adv. Math. Sci, V1, P8, DOI [10.14419/ijams.v1i1.677, DOI 10.14419/IJAMS.V1I1.677]