Soliton-like solutions and periodic form solutions for two variable-coefficient evolution equations using symbolic computation

B. Li; Y. Chen; H. Q. Zhang

doi:10.1007/s00707-004-0156-4

Soliton-like solutions and periodic form solutions for two variable-coefficient evolution equations using symbolic computation

B. Li^*
, Y. Chen
, H. Q. Zhang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Some variable-coefficient generalizations of some nonlinear evolution equations (NLEEs) bear more realistic physical importance. By means of a generalized Riccati equation expansion (GREE) method and a symbolic computation system - Maple - we investigate the variable-coefficient Fisher-type equation and the nearly concentric KdV equation. As a result, rich families of exact analytic solutions for these two equations, including the non-travelling wave's and coefficient functions' soliton-like solutions, singular soliton-like solutions, and periodic form solutions, are obtained.

Original language	English
Pages (from-to)	77-89
Number of pages	13
Journal	Acta Mechanica
Volume	174
Issue number	1-2
DOIs	https://doi.org/10.1007/s00707-004-0156-4
State	Published - Jan 2005
Externally published	Yes

Access to Document

10.1007/s00707-004-0156-4

Cite this

@article{a93bc737e78040899585f7e541331c40,

title = "Soliton-like solutions and periodic form solutions for two variable-coefficient evolution equations using symbolic computation",

abstract = "Some variable-coefficient generalizations of some nonlinear evolution equations (NLEEs) bear more realistic physical importance. By means of a generalized Riccati equation expansion (GREE) method and a symbolic computation system - Maple - we investigate the variable-coefficient Fisher-type equation and the nearly concentric KdV equation. As a result, rich families of exact analytic solutions for these two equations, including the non-travelling wave's and coefficient functions' soliton-like solutions, singular soliton-like solutions, and periodic form solutions, are obtained.",

author = "B. Li and Y. Chen and Zhang, \{H. Q.\}",

year = "2005",

month = jan,

doi = "10.1007/s00707-004-0156-4",

language = "英语",

volume = "174",

pages = "77--89",

journal = "Acta Mechanica",

issn = "0001-5970",

publisher = "Springer-Verlag Wien",

number = "1-2",

}

TY - JOUR

T1 - Soliton-like solutions and periodic form solutions for two variable-coefficient evolution equations using symbolic computation

AU - Li, B.

AU - Chen, Y.

AU - Zhang, H. Q.

PY - 2005/1

Y1 - 2005/1

N2 - Some variable-coefficient generalizations of some nonlinear evolution equations (NLEEs) bear more realistic physical importance. By means of a generalized Riccati equation expansion (GREE) method and a symbolic computation system - Maple - we investigate the variable-coefficient Fisher-type equation and the nearly concentric KdV equation. As a result, rich families of exact analytic solutions for these two equations, including the non-travelling wave's and coefficient functions' soliton-like solutions, singular soliton-like solutions, and periodic form solutions, are obtained.

AB - Some variable-coefficient generalizations of some nonlinear evolution equations (NLEEs) bear more realistic physical importance. By means of a generalized Riccati equation expansion (GREE) method and a symbolic computation system - Maple - we investigate the variable-coefficient Fisher-type equation and the nearly concentric KdV equation. As a result, rich families of exact analytic solutions for these two equations, including the non-travelling wave's and coefficient functions' soliton-like solutions, singular soliton-like solutions, and periodic form solutions, are obtained.

UR - https://www.scopus.com/pages/publications/12844270545

U2 - 10.1007/s00707-004-0156-4

DO - 10.1007/s00707-004-0156-4

M3 - 文章

AN - SCOPUS:12844270545

SN - 0001-5970

VL - 174

SP - 77

EP - 89

JO - Acta Mechanica

JF - Acta Mechanica

IS - 1-2

ER -

Soliton-like solutions and periodic form solutions for two variable-coefficient evolution equations using symbolic computation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this