Constructing new exact solutions to nonlinear difference-differential equations by Riccati equation

Taogetusang; Sirendaoerji

doi:10.7498/aps.58.5894

Abstract
A method for combining Riccati equation with function transformation is applied to seek exact solutions to the nonlinear difference-differential equations. And new exact solitary wave solutions and triangular function solutions to modified Volterra equation and general lattice equations are obtained with the help of symbolic computation system Mathematica.

Keywords:
Riccati equation /

function transformation /

nonlinear difference-differential equation /

solitary wave solution
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

Cited By

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[4]	Xu Yuan-Fen. Exact traveling wave solutions for simplified model of Gross-Pitaevskii equation in the 1D-Tonks-Girardeau gas. Acta Physica Sinica, 2013, 62(10): 100202. doi: 10.7498/aps.62.100202
[5]	Taogetusang, Bai Yu Mei. Riemann theta function and other several kinds of new solutions of nonlinear evolution equations. Acta Physica Sinica, 2013, 62(10): 100201. doi: 10.7498/aps.62.100201
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[8]	Yang Pei, Chen Yong, Li Zhi-Bin. Analytic approximation for the soliton solution of the discrete modified KdV equation. Acta Physica Sinica, 2010, 59(6): 3668-3673. doi: 10.7498/aps.59.3668
[9]	Taogetusang. New infinite sequence exact solutions to the general lattice. Acta Physica Sinica, 2010, 59(10): 6712-6718. doi: 10.7498/aps.59.6712
[10]	Taogetusang, Sirendaoerji. A method for constructing exact solutions of nonlinear evolution equation with variable coefficients. Acta Physica Sinica, 2009, 58(4): 2121-2126. doi: 10.7498/aps.58.2121
[11]	Gao Bin, Liu Shi-Da, Liu Shi-Kuo. Envelope periodic and solitary solutions of Davey-Stewartson equation. Acta Physica Sinica, 2009, 58(4): 2155-2158. doi: 10.7498/aps.58.2155
[12]	Taogetusang, Sirendaoerji. The new exact solutions of Volterra difference-differential equation and KdV difference-differential equation. Acta Physica Sinica, 2009, 58(9): 5887-5893. doi: 10.7498/aps.58.5887
[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
[14]	Taogetusang, Sirendaoerji. Constructing the exact solutions of the (2+1)-dimensional Hybrid-Lattice and discrete mKdV equation. Acta Physica Sinica, 2007, 56(2): 627-636. doi: 10.7498/aps.56.627
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[16]	Yang Hong-Juan, Shi Yu-Ren, Duan Wen-Shan, Lü Ke-Pu. Solving solitary wave solutions of nonlinear evolution equations with the homotopy analysis method. Acta Physica Sinica, 2007, 56(6): 3064-3069. doi: 10.7498/aps.56.3064
[17]	Taogetusang, Sirendaoerji. New exact solitary wave solutions for nonlinear wave equation with fifth-order strong nonlinear term constructed by hyperbolic function type of auxiliary equation. Acta Physica Sinica, 2006, 55(1): 13-18. doi: 10.7498/aps.55.13
[18]	Taogetusang, Sirendaoreji. New exact solitary wave solutions to the BBM and mBBM equations. Acta Physica Sinica, 2004, 53(12): 4052-4060. doi: 10.7498/aps.53.4052
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Vol. 58, Issue 9 - 2009-05-05

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Constructing new exact solutions to nonlinear difference-differential equations by Riccati equation

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Constructing new exact solutions to nonlinear difference-differential equations by Riccati equation

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