Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity

Khadijo Rashid Adem; Chaudry Masood Khalique

doi:10.1016/j.nonrwa.2011.12.001

Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity

Khadijo Rashid Adem, Chaudry Masood Khalique^*

^*Corresponding author for this work

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

55 Citations (Scopus)

Abstract

This paper obtains solutions to the ZakharovKuznetsov modified equal width equation with power law nonlinearity. The Lie symmetry approach and the simplest equation method are used to obtain these solutions. Moreover, conservation laws are derived for the underlying equation by employing two approaches: the new conservation theorem and the multiplier method.

Original language	English
Pages (from-to)	1692-1702
Number of pages	11
Journal	Nonlinear Analysis: Real World Applications
Volume	13
Issue number	4
DOIs	https://doi.org/10.1016/j.nonrwa.2011.12.001
Publication status	Published - Aug 2012
Externally published	Yes

Keywords

Conservation laws
Integrability
Lie symmetries
Lie symmetry methods
Simplest equation method
Solitons

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10.1016/j.nonrwa.2011.12.001

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title = "Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity",

abstract = "This paper obtains solutions to the ZakharovKuznetsov modified equal width equation with power law nonlinearity. The Lie symmetry approach and the simplest equation method are used to obtain these solutions. Moreover, conservation laws are derived for the underlying equation by employing two approaches: the new conservation theorem and the multiplier method.",

keywords = "Conservation laws, Integrability, Lie symmetries, Lie symmetry methods, Simplest equation method, Solitons",

author = "Adem, {Khadijo Rashid} and Khalique, {Chaudry Masood}",

year = "2012",

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AU - Adem, Khadijo Rashid

AU - Khalique, Chaudry Masood

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Y1 - 2012/8

N2 - This paper obtains solutions to the ZakharovKuznetsov modified equal width equation with power law nonlinearity. The Lie symmetry approach and the simplest equation method are used to obtain these solutions. Moreover, conservation laws are derived for the underlying equation by employing two approaches: the new conservation theorem and the multiplier method.

AB - This paper obtains solutions to the ZakharovKuznetsov modified equal width equation with power law nonlinearity. The Lie symmetry approach and the simplest equation method are used to obtain these solutions. Moreover, conservation laws are derived for the underlying equation by employing two approaches: the new conservation theorem and the multiplier method.

KW - Conservation laws

KW - Integrability

KW - Lie symmetries

KW - Lie symmetry methods

KW - Simplest equation method

KW - Solitons

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VL - 13

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JF - Nonlinear Analysis: Real World Applications

IS - 4

ER -

Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity

Abstract

Keywords

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