Exact solutions of the (2+1 )-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis

C. M. Khalique; K. R. Adem

doi:10.1016/j.mcm.2011.01.049

Exact solutions of the (2+1 )-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis

C. M. Khalique^*
, K. R. Adem

^*Corresponding author for this work

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

75 Citations (Scopus)

Abstract

This paper obtains the solution of the (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation. The Lie group analysis is used to carry out the integration of this equation. The solutions obtained include the topological, non-topological soliton solution, cnoidal waves and the traveling wave solutions.

Original language	English
Pages (from-to)	184-189
Number of pages	6
Journal	Mathematical and Computer Modelling
Volume	54
Issue number	1-2
DOIs	https://doi.org/10.1016/j.mcm.2011.01.049
Publication status	Published - Jul 2011
Externally published	Yes

Keywords

Lie symmetries
Solitons
Zakharov-Kuznetsov modified equal width equation

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10.1016/j.mcm.2011.01.049

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title = "Exact solutions of the (2+1 )-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis",

abstract = "This paper obtains the solution of the (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation. The Lie group analysis is used to carry out the integration of this equation. The solutions obtained include the topological, non-topological soliton solution, cnoidal waves and the traveling wave solutions.",

keywords = "Lie symmetries, Solitons, Zakharov-Kuznetsov modified equal width equation",

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year = "2011",

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AU - Khalique, C. M.

AU - Adem, K. R.

PY - 2011/7

Y1 - 2011/7

N2 - This paper obtains the solution of the (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation. The Lie group analysis is used to carry out the integration of this equation. The solutions obtained include the topological, non-topological soliton solution, cnoidal waves and the traveling wave solutions.

AB - This paper obtains the solution of the (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation. The Lie group analysis is used to carry out the integration of this equation. The solutions obtained include the topological, non-topological soliton solution, cnoidal waves and the traveling wave solutions.

KW - Lie symmetries

KW - Solitons

KW - Zakharov-Kuznetsov modified equal width equation

UR - https://www.scopus.com/pages/publications/79955474463

U2 - 10.1016/j.mcm.2011.01.049

DO - 10.1016/j.mcm.2011.01.049

M3 - Article

AN - SCOPUS:79955474463

SN - 0895-7177

VL - 54

SP - 184

EP - 189

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 1-2

ER -

Exact solutions of the (2+1 )-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis

Abstract

Keywords

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