A direct method for deriving a multisoliton solution to the fifth order KdV equation

Yi Zhang; Deng yuan Chen; Zhi bin Li

doi:10.1016/j.chaos.2005.08.085

A direct method for deriving a multisoliton solution to the fifth order KdV equation

Yi Zhang^*
, Deng yuan Chen
, Zhi bin Li

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University
Zhejiang Normal University
Shanghai University

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

9 Scopus citations

Abstract

A new representation of N-soliton solution of the fifth order KdV equation is obtained by using Bäcklund transformation method. We show a direct method for constructing the novel N-soliton solution by performing an appropriate limiting procedure on the known soliton solutions.

Original language	English
Pages (from-to)	1188-1193
Number of pages	6
Journal	Chaos, Solitons and Fractals
Volume	29
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2005.08.085
State	Published - Sep 2006

Access to Document

10.1016/j.chaos.2005.08.085

Cite this

@article{4d4740a2d7bb4e6e857183c7cfcc7d20,

title = "A direct method for deriving a multisoliton solution to the fifth order KdV equation",

abstract = "A new representation of N-soliton solution of the fifth order KdV equation is obtained by using B{\"a}cklund transformation method. We show a direct method for constructing the novel N-soliton solution by performing an appropriate limiting procedure on the known soliton solutions.",

author = "Yi Zhang and Chen, \{Deng yuan\} and Li, \{Zhi bin\}",

year = "2006",

month = sep,

doi = "10.1016/j.chaos.2005.08.085",

language = "英语",

volume = "29",

pages = "1188--1193",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Ltd",

number = "5",

}

TY - JOUR

T1 - A direct method for deriving a multisoliton solution to the fifth order KdV equation

AU - Zhang, Yi

AU - Chen, Deng yuan

AU - Li, Zhi bin

PY - 2006/9

Y1 - 2006/9

N2 - A new representation of N-soliton solution of the fifth order KdV equation is obtained by using Bäcklund transformation method. We show a direct method for constructing the novel N-soliton solution by performing an appropriate limiting procedure on the known soliton solutions.

AB - A new representation of N-soliton solution of the fifth order KdV equation is obtained by using Bäcklund transformation method. We show a direct method for constructing the novel N-soliton solution by performing an appropriate limiting procedure on the known soliton solutions.

UR - https://www.scopus.com/pages/publications/33645862576

U2 - 10.1016/j.chaos.2005.08.085

DO - 10.1016/j.chaos.2005.08.085

M3 - 文章

AN - SCOPUS:33645862576

SN - 0960-0779

VL - 29

SP - 1188

EP - 1193

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 5

ER -

A direct method for deriving a multisoliton solution to the fifth order KdV equation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this