Constructing the exact solutions of the (2+1)-dimensional Hybrid-Lattice and discrete mKdV equation

Taogetusang; Sirendaoerji

doi:10.7498/aps.56.627

Abstract
The paper gives a method for combining the auxiliary equation with hyperbolic function by function transition. And then the method is applied to construct the new solitary wave solutions and the trigonomical function wave solutions to the (2+1)-dimensional Hybrid-Lattice and discrete mKdV equation with the help of the symbolic computation system Mathematica.

Keywords:
auxiliary equation /

function transformation /

(2+1)-dimensional Hybrid-Lattice /

discrete mKdV equation
Authors and contacts
Taogetusang,

Sirendaoerji

1.
内蒙古师范大学数学科学学院，呼和浩特 010022
References

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[2]	Taogetusang, Yi Li-Na. New complexion two-soliton solutions of a class of nonlinear evolution equation. Acta Physica Sinica, 2015, 64(2): 020201. doi: 10.7498/aps.64.020201
[3]	Taogetusang, Yi Li-Na. New complexion two-soliton solutions to a kind of nonlinear coupled system. Acta Physica Sinica, 2014, 63(16): 160201. doi: 10.7498/aps.63.160201
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[10]	Taogetusang, Sirendaoerji. Constructing new exact solutions to nonlinear difference-differential equations by Riccati equation. Acta Physica Sinica, 2009, 58(9): 5894-5902. doi: 10.7498/aps.58.5894
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[13]	Taogetusang, Sirendaoerji. The auxiliary equation for constructing the exact solutions of the variable coefficient combined KdV equation with forcible term. Acta Physica Sinica, 2008, 57(3): 1295-1300. doi: 10.7498/aps.57.1295
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[19]	ZHAO YONG-MING, YAN JIA-REN. THE THEORY OF THE PERTURBATION EQUATION OF MKdV. Acta Physica Sinica, 1999, 48(11): 1976-1982. doi: 10.7498/aps.48.1976
[20]	QIAN XIAN-MIN, LOU SEN-YUE. SYMMETRIES OF THE(2 +1) DIMENSIONAL DISCRETE Toda EQUATION. Acta Physica Sinica, 1996, 45(5): 721-728. doi: 10.7498/aps.45.721

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Vol. 56, Issue 2 - 2007-01-20

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Constructing the exact solutions of the (2+1)-dimensional Hybrid-Lattice and discrete mKdV equation

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Constructing the exact solutions of the (2+1)-dimensional Hybrid-Lattice and discrete mKdV equation

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