THE SOLITARY WAVE SOLUTIONS TO KdV-BURGERS EQUATION

Lü KE-PU; SHI YU-REN; DUAN WEN-SHAN; ZHAO JIN-BAO

doi:10.7498/aps.50.2073

Abstract
The study on the hyperbola function method has been done and the application of the method was extended.Furthermore, with the aid of computer algebraic system Mathematica, two kink solitary wave solutions to KdV-Burgers equation were successfully derived.

Keywords:
hyperbola function method /

KdV-Burgers equation /

travelling wave solution /

computer algebraic system Mathematica
Authors and contacts
Lü KE-PU,

SHI YU-REN,

DUAN WEN-SHAN,

ZHAO JIN-BAO

1.
西北师范大学物理与电子工程学院,兰州730070
References

Cited By

[1]	Lou Sen-Yue, Hao Xia-Zhi, Jia Man. Higher dimensional reciprocal integrable Kaup-Newell systems. Acta Physica Sinica, 2023, 72(10): 100204. doi: 10.7498/aps.72.20222418
[2]	Hu Liang, Luo Mao-Kang. Traveling wave solutions of the cylindrical nonlinear Maxwell's equations. Acta Physica Sinica, 2017, 66(13): 130302. doi: 10.7498/aps.66.130302
[3]	Hong Bao-Jian, Lu Dian-Chen. Homotopic approximate solutions for a class of generalized perturbed Kdv-Burgers equation. Acta Physica Sinica, 2013, 62(17): 170202. doi: 10.7498/aps.62.170202
[4]	Ouyang Cheng, Shi Lan-Fang, Lin Wan-Tao, Mo Jia-Qi. Perturbation method of travelling wave solution for (2+1) dimensional disturbed time delay breaking solitary wave equation. Acta Physica Sinica, 2013, 62(17): 170201. doi: 10.7498/aps.62.170201
[5]	Mo Jia-Qi. Travelling wave solution of disturbed Vakhnenko equation for physical model. Acta Physica Sinica, 2011, 60(9): 090203. doi: 10.7498/aps.60.090203
[6]	Shi Yu-Ren, Yang Hong-Juan. Application of the homotopy analysis method to solving dissipative system. Acta Physica Sinica, 2010, 59(1): 67-74. doi: 10.7498/aps.59.67
[7]	Li Xiang-Zheng, Zhang Wei-Guo, Yuan San-Ling. LS method and qualitative analysis of traveling wave solutions of Fisher equation. Acta Physica Sinica, 2010, 59(2): 744-749. doi: 10.7498/aps.59.744
[8]	Pan Jun-Ting, Gong Lun-Xun. Jacobi elliptic function solutions to the coupled KdV-mKdV equation. Acta Physica Sinica, 2007, 56(10): 5585-5590. doi: 10.7498/aps.56.5585
[9]	Gong Lun-Xun. Some new exact solutions of the Jacobi elliptic functions of NLS equation. Acta Physica Sinica, 2006, 55(9): 4414-4419. doi: 10.7498/aps.55.4414
[10]	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
[11]	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
[12]	Yu Ya-Xuan, Wang Qi, Zhao Xue-Qin, Zhi Hong-Yan, Zhang Hong-Qing. A direct algebraic method to obtain solitary solutions of nonlinear differential-difference equations. Acta Physica Sinica, 2005, 54(9): 3992-3994. doi: 10.7498/aps.54.3992
[13]	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
[14]	Liu Guan-Ting, Fan Tian-You. Jacobi elliptic function expansion method under a general function transform and its applications. Acta Physica Sinica, 2004, 53(3): 676-679. doi: 10.7498/aps.53.676
[15]	Li Hua-Mie, Lin Ji, Xu You-Sheng. Multiple travelling wave solutions of two newly generalized Ito systems. Acta Physica Sinica, 2004, 53(2): 349-355. doi: 10.7498/aps.53.349
[16]	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
[17]	LI CHAO-HONG. CONDITIONAL STABILITY OF THE GENERAL KdV SOLITON SOLUTION AND KdV-BURGERS TRAVELING WAVE SOLUTION. Acta Physica Sinica, 1998, 47(9): 1409-1415. doi: 10.7498/aps.47.1409
[18]	HAI WEN-HUA, XIAO YI. SOLITON SOLUTIONS OF PERIURBED BURGERS-KdV EQUATION. Acta Physica Sinica, 1996, 45(4): 587-594. doi: 10.7498/aps.45.587
[19]	ZHU ZUO-NONG. STABILITY OF SOLITARY WAVE FOR THE KdV TYPE EQUATIONAND TRAVELLING WAVE FOR THE KdV-BURGERS TYPE EQUATION. Acta Physica Sinica, 1996, 45(7): 1087-1090. doi: 10.7498/aps.45.1087
[20]	CHEN DE-FANG, LOU SEN-YUE. DEFORMATION THEORY AMONG TRAVELLING WAVE SOLUTIONS OF KdV EQUATION AND HIGH ORDER KdV EQUATIONS. Acta Physica Sinica, 1991, 40(4): 513-521. doi: 10.7498/aps.40.513

Catalog

Vol. 50, Issue 11 - 2001-06-05

Metrics

Abstract views: 9198
PDF Downloads: 1473
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 SOLITARY WAVE SOLUTIONS TO KdV-BURGERS EQUATION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

THE SOLITARY WAVE SOLUTIONS TO KdV-BURGERS EQUATION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About