Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients

Yan Ze Peng; E. V. Krishnan; Hui Feng

doi:10.1007/s12043-008-0140-y

Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients

Yan Ze Peng^*, E. V. Krishnan, Hui Feng

^*Corresponding author for this work

Mathematics & Statistics

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

7 Citations (Scopus)

Abstract

Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients are studied using the solutions of Raccati equation. The solitary wave-like solution, the trigonometric periodic wave solution and the rational wave solution are obtained with a constraint between coefficients. The property of the solutions is numerically investigated. It is shown that the coefficients of the equation do not change the wave amplitude, but may change the wave velocity.

Original language	English
Pages (from-to)	49-55
Number of pages	7
Journal	Pramana - Journal of Physics
Volume	71
Issue number	1
DOIs	https://doi.org/10.1007/s12043-008-0140-y
Publication status	Published - Jul 2008

Keywords

Raccati equation
Travelling wave solution
Zakharov-Kuznetsov equation

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1007/s12043-008-0140-y

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title = "Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients",

abstract = "Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients are studied using the solutions of Raccati equation. The solitary wave-like solution, the trigonometric periodic wave solution and the rational wave solution are obtained with a constraint between coefficients. The property of the solutions is numerically investigated. It is shown that the coefficients of the equation do not change the wave amplitude, but may change the wave velocity.",

keywords = "Raccati equation, Travelling wave solution, Zakharov-Kuznetsov equation",

author = "Peng, {Yan Ze} and Krishnan, {E. V.} and Hui Feng",

note = "Funding Information: One of the authors (Hui Feng) is supported by NCET of China and the work of Yan-ze Peng is supported by Research Fund for the Doctoral Program of Higher Education of China (No. 20070486094). The authors would like to acknowledge the anonymous referee for his/her valuable comments.",

year = "2008",

month = jul,

doi = "10.1007/s12043-008-0140-y",

language = "English",

volume = "71",

pages = "49--55",

journal = "Pramana - Journal of Physics",

issn = "0304-4289",

publisher = "Indian Academy of Sciences",

number = "1",

}

TY - JOUR

T1 - Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients

AU - Peng, Yan Ze

AU - Krishnan, E. V.

AU - Feng, Hui

N1 - Funding Information: One of the authors (Hui Feng) is supported by NCET of China and the work of Yan-ze Peng is supported by Research Fund for the Doctoral Program of Higher Education of China (No. 20070486094). The authors would like to acknowledge the anonymous referee for his/her valuable comments.

PY - 2008/7

Y1 - 2008/7

N2 - Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients are studied using the solutions of Raccati equation. The solitary wave-like solution, the trigonometric periodic wave solution and the rational wave solution are obtained with a constraint between coefficients. The property of the solutions is numerically investigated. It is shown that the coefficients of the equation do not change the wave amplitude, but may change the wave velocity.

AB - Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients are studied using the solutions of Raccati equation. The solitary wave-like solution, the trigonometric periodic wave solution and the rational wave solution are obtained with a constraint between coefficients. The property of the solutions is numerically investigated. It is shown that the coefficients of the equation do not change the wave amplitude, but may change the wave velocity.

KW - Raccati equation

KW - Travelling wave solution

KW - Zakharov-Kuznetsov equation

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U2 - 10.1007/s12043-008-0140-y

DO - 10.1007/s12043-008-0140-y

M3 - Article

AN - SCOPUS:48249156152

SN - 0304-4289

VL - 71

SP - 49

EP - 55

JO - Pramana - Journal of Physics

JF - Pramana - Journal of Physics

IS - 1

ER -

Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients

Abstract

Keywords

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