Peakon, compacton and loop excitations with periodic behavior in KdV type models related to Schrödinger system

Chun Long Zheng; Li Qun Chen; Jie Fang Zhang

doi:10.1016/j.physleta.2005.03.083

Peakon, compacton and loop excitations with periodic behavior in KdV type models related to Schrödinger system

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

^*Corresponding author for this work

Lishui University
Shanghai University
Zhejiang Normal University

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

31 Scopus citations

Abstract

In this Letter, 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)	397-402
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	340
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2005.03.083
State	Published - 13 Jun 2005
Externally published	Yes

Keywords

KdV type system
Periodic behavior
Soliton
Variable separation approach

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10.1016/j.physleta.2005.03.083

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title = "Peakon, compacton and loop excitations with periodic behavior in KdV type models related to Schr{\"o}dinger system",

abstract = "In this Letter, 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",

author = "Zheng, \{Chun Long\} and Chen, \{Li Qun\} and Zhang, \{Jie Fang\}",

year = "2005",

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doi = "10.1016/j.physleta.2005.03.083",

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volume = "340",

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T1 - Peakon, compacton and loop excitations with periodic behavior in KdV type models related to Schrödinger system

AU - Zheng, Chun Long

AU - Chen, Li Qun

AU - Zhang, Jie Fang

PY - 2005/6/13

Y1 - 2005/6/13

N2 - In this Letter, 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 - In this Letter, 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/19444378104

U2 - 10.1016/j.physleta.2005.03.083

DO - 10.1016/j.physleta.2005.03.083

M3 - 文章

AN - SCOPUS:19444378104

SN - 0375-9601

VL - 340

SP - 397

EP - 402

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

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

IS - 5-6

ER -

Peakon, compacton and loop excitations with periodic behavior in KdV type models related to Schrödinger system

Abstract

Keywords

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