New exact compacton, peakon and solitary solutions of the generalized Boussinesq-like B (m, n) equations with nonlinear dispersion

Lijun Zhang; Li Qun Chen; Xuwen Huo

doi:10.1016/j.na.2006.10.009

New exact compacton, peakon and solitary solutions of the generalized Boussinesq-like B (m, n) equations with nonlinear dispersion

Lijun Zhang
, Li Qun Chen^*
, Xuwen Huo

^*Corresponding author for this work

Zhejiang Sci-Tech University
Shanghai University

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

4 Scopus citations

Abstract

In this paper, exact solutions of the generalized Boussinesq-like B (m, n) equation with nonlinear dispersion u_{t t} + a (uⁿ)_{x x} + b (u^m)_{x x x x} = 0, m, n ∈ R are investigated. As a result, under different parameter conditions, abundant compactons, peakons and solitary solutions, which include not only some known results but also some new ones, are obtained. The approach we used is simple and also suitable for studying the traveling wave solutions of some other equations.

Original language	English
Pages (from-to)	3276-3282
Number of pages	7
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	67
Issue number	12
DOIs	https://doi.org/10.1016/j.na.2006.10.009
State	Published - 15 Dec 2007
Externally published	Yes

Keywords

Boussinesq-like B (m, n) equations
Compacton solution
Nonlinear wave equation
Peakon solution
Periodic cusp wave solution
Solitary solution

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10.1016/j.na.2006.10.009

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title = "New exact compacton, peakon and solitary solutions of the generalized Boussinesq-like B (m, n) equations with nonlinear dispersion",

abstract = "In this paper, exact solutions of the generalized Boussinesq-like B (m, n) equation with nonlinear dispersion ut t + a (un)x x + b (um)x x x x = 0, m, n ∈ R are investigated. As a result, under different parameter conditions, abundant compactons, peakons and solitary solutions, which include not only some known results but also some new ones, are obtained. The approach we used is simple and also suitable for studying the traveling wave solutions of some other equations.",

keywords = "Boussinesq-like B (m, n) equations, Compacton solution, Nonlinear wave equation, Peakon solution, Periodic cusp wave solution, Solitary solution",

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

year = "2007",

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day = "15",

doi = "10.1016/j.na.2006.10.009",

language = "英语",

volume = "67",

pages = "3276--3282",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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TY - JOUR

T1 - New exact compacton, peakon and solitary solutions of the generalized Boussinesq-like B (m, n) equations with nonlinear dispersion

AU - Zhang, Lijun

AU - Chen, Li Qun

AU - Huo, Xuwen

PY - 2007/12/15

Y1 - 2007/12/15

N2 - In this paper, exact solutions of the generalized Boussinesq-like B (m, n) equation with nonlinear dispersion ut t + a (un)x x + b (um)x x x x = 0, m, n ∈ R are investigated. As a result, under different parameter conditions, abundant compactons, peakons and solitary solutions, which include not only some known results but also some new ones, are obtained. The approach we used is simple and also suitable for studying the traveling wave solutions of some other equations.

AB - In this paper, exact solutions of the generalized Boussinesq-like B (m, n) equation with nonlinear dispersion ut t + a (un)x x + b (um)x x x x = 0, m, n ∈ R are investigated. As a result, under different parameter conditions, abundant compactons, peakons and solitary solutions, which include not only some known results but also some new ones, are obtained. The approach we used is simple and also suitable for studying the traveling wave solutions of some other equations.

KW - Boussinesq-like B (m, n) equations

KW - Compacton solution

KW - Nonlinear wave equation

KW - Peakon solution

KW - Periodic cusp wave solution

KW - Solitary solution

UR - https://www.scopus.com/pages/publications/34548039482

U2 - 10.1016/j.na.2006.10.009

DO - 10.1016/j.na.2006.10.009

M3 - 文章

AN - SCOPUS:34548039482

SN - 0362-546X

VL - 67

SP - 3276

EP - 3282

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 12

ER -

New exact compacton, peakon and solitary solutions of the generalized Boussinesq-like B (m, n) equations with nonlinear dispersion

Abstract

Keywords

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