The new doubly-periodic solutions for nonlinear coupled scalar field equations( Ⅱ)

Li De-Sheng; Zhang Hong-Qing

doi:10.7498/aps.52.2379

Abstract
Based on an ordinary differential equation which possesses doubly-periodic solut ions, a new method for constructing doubly-periodic solutions for differential e quations and its algorithm are proposed. This method can be carried out in compu ter by the aid of symbolic computation. A lot of new exact solutions of the nonl inear coupled scalar field equations are found by using this method.

Keywords:
nonlinear coupled scalar field equations /

doubly-periodic solutions /

exact solutions
Authors and contacts
Li De-Sheng²,

Zhang Hong-Qing¹

(1)大连理工大学应用数学系，大连 116024; (2)大连理工大学应用数学系，大连 116024;沈阳工业大学理学院，沈阳 110023
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]	Li Kai-Hui, Liu Han-Ze, Xin Xiang-Peng. Lie symmetry analysis, optimal system, exact solutions and conservation laws of a class of high-order nonlinear wave equations. Acta Physica Sinica, 2016, 65(14): 140201. doi: 10.7498/aps.65.140201
[3]	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
[4]	Wang Zhen-Li, Liu Xi-Qiang. Nonlocal symmetry and explicit solutions of the Kaup-Kupershmidt equation. Acta Physica Sinica, 2014, 63(18): 180205. doi: 10.7498/aps.63.180205
[5]	Wan Hui. Exact solutions to the nonlinear diffusion-convection equation with variable coefficients and source term. Acta Physica Sinica, 2013, 62(9): 090203. doi: 10.7498/aps.62.090203
[6]	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
[7]	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
[8]	Lei Jun, Ma Song-Hua, Fang Jian-Ping. Exact solutions and localized excitations of (3+1) -dimensional Jimbo-Miwa equation. Acta Physica Sinica, 2011, 60(12): 120507. doi: 10.7498/aps.60.120507
[9]	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
[10]	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
[11]	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
[12]	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
[13]	Zeng Xin, Zhang Hong-Qing. Backlund transformation and exact solutions for (2+1)-dimensional Boussinesq eq uation. Acta Physica Sinica, 2005, 54(4): 1476-1480. doi: 10.7498/aps.54.1476
[14]	Zhi Hong-Yan, Wang Qi, Zhang Hong-Qing. A series of new exact solutions to the (2+1)-dimensional Broer-Kau-Kupershmidt equation. Acta Physica Sinica, 2005, 54(3): 1002-1008. doi: 10.7498/aps.54.1002
[15]	Han Zhao-Xiu. New exact solutions for nonlinear Klein-Gordon equations. Acta Physica Sinica, 2005, 54(4): 1481-1484. doi: 10.7498/aps.54.1481
[16]	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
[17]	Lü Da-Zhao. Abundant Jacobi elliptic function solutions of nonlinear evolution equations. Acta Physica Sinica, 2005, 54(10): 4501-4505. doi: 10.7498/aps.54.4501
[18]	Huang Ding-Jiang, Zhang Hong-Qing. Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations. Acta Physica Sinica, 2004, 53(8): 2434-2438. doi: 10.7498/aps.53.2434
[19]	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
[20]	Li De-Sheng, Zhang Hong-Qing. The new doubly-periodic solutions for nonlinear coupled scalar field equations( Ⅰ). Acta Physica Sinica, 2003, 52(10): 2373-2378. doi: 10.7498/aps.52.2373

Catalog

Vol. 52, Issue 10 - 2003-05-20

Metrics

Abstract views: 7310
PDF Downloads: 676
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

The new doubly-periodic solutions for nonlinear coupled scalar field equations( Ⅱ)

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

The new doubly-periodic solutions for nonlinear coupled scalar field equations( Ⅱ)

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About