A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations

被引：63

作者：

Fan, EG ^{[1
]}

Dai, HH

机构：

[1] Fudan Univ, Key Lab Nonlinear Math Models & Methods, Math Inst, Shanghai 200433, Peoples R China

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2003年 / 153卷 / 01期

关键词：

nonlinear equation; traveling wave solution; solitary wave solution; doubly periodic wave solution; algebraic method with computerized symbolic computation;

D O I：

10.1016/S0010-4655(02)00873-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A direct approach with computerized symbolic computation is applied to construct a series of traveling wave solutions for nonlinear equations. Compared with most existing symbolic computation methods such as tanh method and Jacobi function method, the proposed method not only gives new and more general solutions, but also provides a guideline to classify the various types of the solution according to some parameters. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：17 / 30

页数：14

共 50 条

[1] Comment on "A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations" by Engui Fan and H.H. Dai [Comput. Phys. Commun. 153 (2003) 17]
Hong, WP
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2004, 158 (03) : 192 - 195
[2] Traveling wave solutions for nonlinear equations using symbolic computation
Fan, EG
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (6-7) : 671 - 680
[3] Finding the interaction solutions to the dimensionally reduced equations based on computerized symbolic computation
Zhu, Jiang-Tao
Lu, Xing
Cheng, Jian-Hua
[J]. MODERN PHYSICS LETTERS B, 2020, 34 (15):
[4] Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach
Arshed, Saima
Raza, Nauman
Butt, Asma Rashid
Javid, Ahmad
Gomez-Aguilar, J. F.
[J]. JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2023, 8 (01) : 33 - 41
[5] Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation
Kaya, D
Inan, IE
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (03) : 775 - 787
[6] A symbolic computation-based method and two nonlinear evolution equations for water waves
Gao, YT
Tian, B
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1997, 52 (03): : 295 - 296
[7] Application of Symbolic Computation in Nonlinear Evolution Equations
Zhang, Yuanyuan
[J]. ICAIE 2009: PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND EDUCATION, VOLS 1 AND 2, 2009, : 362 - 364
[8] A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems
Zhaqilao
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (09) : 3331 - 3342
[9] Computerized symbolic computation for the modified dispersive water wave equations
Gao, YT
Tian, B
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2001, 12 (09): : 1357 - 1360
[10] SYMBOLIC COMPUTATION APPROACH TO NONLINEAR DYNAMICS
BAJER, J
LISONEK, P
[J]. JOURNAL OF MODERN OPTICS, 1991, 38 (04) : 719 - 729

← 1 2 3 4 5 →