Envelope compacton and solitary pattern solutions of a generalized nonlinear Schrödinger equation

Lijun Zhang; Li Qun Chen

doi:10.1016/j.na.2007.12.020

Envelope compacton and solitary pattern solutions of a generalized nonlinear Schrödinger equation

Lijun Zhang^*
, Li Qun Chen

^*Corresponding author for this work

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

13 Scopus citations

Abstract

In this paper, the generalized nonlinear Schrödinger equation with nonlinear dispersion i u_t + a (u | u |^{n - 1})_{x x} + b u | u |^{m - 1} = 0 (called the GNLS (m, n) equation) is investigated by using the theory of a dynamical system. As a result, we obtain some envelope compacton and solitary pattern solutions of the GNLS (m, n) equation. In addition, we point out the reason for the appearance of the unsmooth solutions.

Original language	English
Pages (from-to)	492-496
Number of pages	5
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	70
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2007.12.020
State	Published - 1 Jan 2009
Externally published	Yes

Keywords

Dynamical system
Envelope compacton
Generalized nonlinear Schrödinger equation

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10.1016/j.na.2007.12.020

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title = "Envelope compacton and solitary pattern solutions of a generalized nonlinear Schr{\"o}dinger equation",

abstract = "In this paper, the generalized nonlinear Schr{\"o}dinger equation with nonlinear dispersion i ut + a (u | u |n - 1)x x + b u | u |m - 1 = 0 (called the GNLS (m, n) equation) is investigated by using the theory of a dynamical system. As a result, we obtain some envelope compacton and solitary pattern solutions of the GNLS (m, n) equation. In addition, we point out the reason for the appearance of the unsmooth solutions.",

keywords = "Dynamical system, Envelope compacton, Generalized nonlinear Schr{\"o}dinger equation",

author = "Lijun Zhang and Chen, \{Li Qun\}",

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doi = "10.1016/j.na.2007.12.020",

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AU - Zhang, Lijun

AU - Chen, Li Qun

PY - 2009/1/1

Y1 - 2009/1/1

N2 - In this paper, the generalized nonlinear Schrödinger equation with nonlinear dispersion i ut + a (u | u |n - 1)x x + b u | u |m - 1 = 0 (called the GNLS (m, n) equation) is investigated by using the theory of a dynamical system. As a result, we obtain some envelope compacton and solitary pattern solutions of the GNLS (m, n) equation. In addition, we point out the reason for the appearance of the unsmooth solutions.

AB - In this paper, the generalized nonlinear Schrödinger equation with nonlinear dispersion i ut + a (u | u |n - 1)x x + b u | u |m - 1 = 0 (called the GNLS (m, n) equation) is investigated by using the theory of a dynamical system. As a result, we obtain some envelope compacton and solitary pattern solutions of the GNLS (m, n) equation. In addition, we point out the reason for the appearance of the unsmooth solutions.

KW - Dynamical system

KW - Envelope compacton

KW - Generalized nonlinear Schrödinger equation

UR - https://www.scopus.com/pages/publications/55549091401

U2 - 10.1016/j.na.2007.12.020

DO - 10.1016/j.na.2007.12.020

M3 - 文章

AN - SCOPUS:55549091401

SN - 0362-546X

VL - 70

SP - 492

EP - 496

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1

ER -

Envelope compacton and solitary pattern solutions of a generalized nonlinear Schrödinger equation

Abstract

Keywords

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