Solitons with periodic behavior in Korteweg-de Vries type models related to schrödinger system

Chun Long Zheng; Jie Fang Zhang; Chang Zhi Xu; Li Qun Chen

doi:10.1088/0253-6102/43/5/019

Solitons with periodic behavior in Korteweg-de Vries type models related to schrödinger system

Chun Long Zheng^*
, Jie Fang Zhang
, Chang Zhi Xu
, Li Qun Chen

^*Corresponding author for this work

Lishui University
Shanghai University
Zhejiang Normal University

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

2 Scopus citations

Abstract

The linear variable separation approach is successfully extended to (1+1)-dimensional Korteweg-de Vries (KdV) type models related to Schrödinger system. Some significant types of solitons such as compacton, peakon, and loop solutions with periodic behavior are simultaneously derived from the (1+1)-dimensional soliton system by entrancing appropriate piecewise smooth functions and multivalued functions.

Original language	English
Pages (from-to)	850-854
Number of pages	5
Journal	Communications in Theoretical Physics
Volume	43
Issue number	5
DOIs	https://doi.org/10.1088/0253-6102/43/5/019
State	Published - 15 May 2005
Externally published	Yes

Keywords

KdV type system
Periodic behavior
Soliton
Variable separation approach

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10.1088/0253-6102/43/5/019

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title = "Solitons with periodic behavior in Korteweg-de Vries type models related to schr{\"o}dinger system",

abstract = "The linear variable separation approach is successfully extended to (1+1)-dimensional Korteweg-de Vries (KdV) type models related to Schr{\"o}dinger system. Some significant types of solitons such as compacton, peakon, and loop solutions with periodic behavior are simultaneously derived from the (1+1)-dimensional soliton system by entrancing appropriate piecewise smooth functions and multivalued functions.",

keywords = "KdV type system, Periodic behavior, Soliton, Variable separation approach",

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AU - Zheng, Chun Long

AU - Zhang, Jie Fang

AU - Xu, Chang Zhi

AU - Chen, Li Qun

PY - 2005/5/15

Y1 - 2005/5/15

N2 - The linear variable separation approach is successfully extended to (1+1)-dimensional Korteweg-de Vries (KdV) type models related to Schrödinger system. Some significant types of solitons such as compacton, peakon, and loop solutions with periodic behavior are simultaneously derived from the (1+1)-dimensional soliton system by entrancing appropriate piecewise smooth functions and multivalued functions.

AB - The linear variable separation approach is successfully extended to (1+1)-dimensional Korteweg-de Vries (KdV) type models related to Schrödinger system. Some significant types of solitons such as compacton, peakon, and loop solutions with periodic behavior are simultaneously derived from the (1+1)-dimensional soliton system by entrancing appropriate piecewise smooth functions and multivalued functions.

KW - KdV type system

KW - Periodic behavior

KW - Soliton

KW - Variable separation approach

UR - https://www.scopus.com/pages/publications/20344371731

U2 - 10.1088/0253-6102/43/5/019

DO - 10.1088/0253-6102/43/5/019

M3 - 文章

AN - SCOPUS:20344371731

SN - 0253-6102

VL - 43

SP - 850

EP - 854

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 5

ER -

Solitons with periodic behavior in Korteweg-de Vries type models related to schrödinger system

Abstract

Keywords

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