Differential transform method for solving solitary wave with discontinuity

Li Zou; Zhi Zong; Zhen Wang; Shoufu Tian

doi:10.1016/j.physleta.2010.06.066

Differential transform method for solving solitary wave with discontinuity

Li Zou^*
, Zhi Zong
, Zhen Wang
, Shoufu Tian

^*Corresponding author for this work

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

13 Scopus citations

Abstract

In this Letter, the differential transform method is developed to solve solitary waves governed by Camassa-Holm equation. Purely analytic solutions are given for solitons with and without continuity at crest. A Padé technique is also combined with DTM. This provides us a new analytic approach to solve soliton with discontinuity.

Original language	English
Pages (from-to)	3451-3454
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	374
Issue number	34
DOIs	https://doi.org/10.1016/j.physleta.2010.06.066
State	Published - 26 Jul 2010
Externally published	Yes

Keywords

Differential transform method
Differential transform-Padé approximation
Discontinuity
Solitary wave

Access to Document

10.1016/j.physleta.2010.06.066

Cite this

@article{adfaf65eab8f43ddaeea8669a95f8527,

title = "Differential transform method for solving solitary wave with discontinuity",

abstract = "In this Letter, the differential transform method is developed to solve solitary waves governed by Camassa-Holm equation. Purely analytic solutions are given for solitons with and without continuity at crest. A Pad{\'e} technique is also combined with DTM. This provides us a new analytic approach to solve soliton with discontinuity.",

keywords = "Differential transform method, Differential transform-Pad{\'e} approximation, Discontinuity, Solitary wave",

author = "Li Zou and Zhi Zong and Zhen Wang and Shoufu Tian",

year = "2010",

month = jul,

day = "26",

doi = "10.1016/j.physleta.2010.06.066",

language = "英语",

volume = "374",

pages = "3451--3454",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "34",

}

TY - JOUR

T1 - Differential transform method for solving solitary wave with discontinuity

AU - Zou, Li

AU - Zong, Zhi

AU - Wang, Zhen

AU - Tian, Shoufu

PY - 2010/7/26

Y1 - 2010/7/26

N2 - In this Letter, the differential transform method is developed to solve solitary waves governed by Camassa-Holm equation. Purely analytic solutions are given for solitons with and without continuity at crest. A Padé technique is also combined with DTM. This provides us a new analytic approach to solve soliton with discontinuity.

AB - In this Letter, the differential transform method is developed to solve solitary waves governed by Camassa-Holm equation. Purely analytic solutions are given for solitons with and without continuity at crest. A Padé technique is also combined with DTM. This provides us a new analytic approach to solve soliton with discontinuity.

KW - Differential transform method

KW - Differential transform-Padé approximation

KW - Discontinuity

KW - Solitary wave

UR - https://www.scopus.com/pages/publications/77955573335

U2 - 10.1016/j.physleta.2010.06.066

DO - 10.1016/j.physleta.2010.06.066

M3 - 文章

AN - SCOPUS:77955573335

SN - 0375-9601

VL - 374

SP - 3451

EP - 3454

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 34

ER -

Differential transform method for solving solitary wave with discontinuity

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this