Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations

Huang Ding-Jiang; Zhang Hong-Qing

doi:10.7498/aps.53.2434

Abstract
With the aid of symbolic computation system Maple and by using the extended hyperbolic function method, the exact solitary wave solutions of Zakharov equations are obtained which include bell-shaped soliton solutions, kink-shaped soliton solutions, envelop soliton solutions, singular soliton solutions and a new type of soliton solutions. The method can be also used to solve other nonlinear wave equations.

Keywords:
extended hyperbolic function method /

Zakharov equations /

solitary wave solutions /

exact solutions
Authors and contacts
Huang Ding-Jiang,

Zhang Hong-Qing

1.
大连理工大学应用数学系，大连 116024
References

Cited By

[1]	Zhang Li-Xiang, Liu Han-Ze, Xin Xiang-Peng. Symmetry reductions, exact equations and the conservation laws of the generalized (3+1) dimensional Zakharov-Kuznetsov equation. Acta Physica Sinica, 2017, 66(8): 080201. doi: 10.7498/aps.66.080201
[2]	Liu Yong, Liu Xi-Qiang. Exact solutions of Whitham-Broer-Kaup equations with variable coefficients. Acta Physica Sinica, 2014, 63(20): 200203. doi: 10.7498/aps.63.200203
[3]	Li Ning, Liu Xi-Qiang. Symmetries, reductions and exact solutions of Broer-Kau-Kupershmidt system. Acta Physica Sinica, 2013, 62(16): 160203. doi: 10.7498/aps.62.160203
[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]	Yin Jun-Yi. Extended expansion method for (G/G) and new exact solutions of Zakharov equations. Acta Physica Sinica, 2013, 62(20): 200202. doi: 10.7498/aps.62.200202
[6]	Yang Zheng, Ma Song-Hua, Fang Jian-Ping. Exact solutions and soliton structures of (2+1)-dimensionalZakharov-Kuznetsov equation. Acta Physica Sinica, 2011, 60(4): 040508. doi: 10.7498/aps.60.040508
[7]	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
[8]	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
[9]	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
[10]	Li Bang-Qing, Ma Yu-Lan. (G′/G)-expansion method and new exact solutions for (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov system. Acta Physica Sinica, 2009, 58(7): 4373-4378. doi: 10.7498/aps.58.4373
[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 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
[13]	Mao Jie-Jian, Yang Jian-Rong. New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation. Acta Physica Sinica, 2007, 56(9): 5049-5053. doi: 10.7498/aps.56.5049
[14]	. Solving solitary wave solutions of higher dimensional nonlinear evolution equations with the homotopy analysis method. Acta Physica Sinica, 2007, 56(12): 6791-6796. doi: 10.7498/aps.56.6791
[15]	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
[16]	Wu Guo-Jiang, Zhang Miao, Shi Liang-Ma, Zhang Wen-Liang, Han Jia-Hua. The extended expansion method for Jacobi elliptic function and new exact periodic solutions of Zakharov equations. Acta Physica Sinica, 2007, 56(9): 5054-5059. doi: 10.7498/aps.56.5054
[17]	Wang Yue-Yue, Yang Qin, Dai Chao-Qing, Zhang Jie-Fang. Solitary wave solution of Zakharov equation with quantum effect. Acta Physica Sinica, 2006, 55(3): 1029-1034. doi: 10.7498/aps.55.1029
[18]	Liu Cheng-Shi, Du Xing-Hua. New exact solutions of coupled Klein-Gordon-Schr?dinger equations. Acta Physica Sinica, 2005, 54(3): 1039-1043. doi: 10.7498/aps.54.1039
[19]	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
[20]	Shi Yu-ren, Lü Ke-Pu, Duan Wen-Shan, Hong Xue-Ren, Zhao Jin-Bao, Yang Hong-Juan. Explicit and exact solutions of the combined KdV equation. Acta Physica Sinica, 2003, 52(2): 267-270. doi: 10.7498/aps.52.267

Catalog

Vol. 53, Issue 8 - 2004-04-20

Metrics

Abstract views: 8203
PDF Downloads: 790
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About