Analytical and numerical solutions to the Davey-Stewartson equation with power-law nonlinearity

Ghodrat Ebadi; E. V. Krishnan; Manel Labidi; Essaid Zerrad; Anjan Biswas

doi:10.1080/17455030.2011.606853

Analytical and numerical solutions to the Davey-Stewartson equation with power-law nonlinearity

Ghodrat Ebadi, E. V. Krishnan, Manel Labidi, Essaid Zerrad, Anjan Biswas^*

^*Corresponding author for this work

Mathematics & Statistics

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

31 Citations (Scopus)

Abstract

This paper studies the Davey-Stewartson equation. The traveling wave solution of this equation is obtained for the case of power-law nonlinearity. Subsequently, this equation is solved by the exponential function method. The mapping method is then used to retrieve more solutions to the equation. Finally, the equation is studied with the aid of the variational iteration method. The numerical simulations are also given to complete the analysis.

Original language	English
Pages (from-to)	559-590
Number of pages	32
Journal	Waves in Random and Complex Media
Volume	21
Issue number	4
DOIs	https://doi.org/10.1080/17455030.2011.606853
Publication status	Published - Nov 2011

Keywords

Nonlinear media
Solitons

ASJC Scopus subject areas

Engineering(all)
Physics and Astronomy(all)

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10.1080/17455030.2011.606853

Cite this

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title = "Analytical and numerical solutions to the Davey-Stewartson equation with power-law nonlinearity",

abstract = "This paper studies the Davey-Stewartson equation. The traveling wave solution of this equation is obtained for the case of power-law nonlinearity. Subsequently, this equation is solved by the exponential function method. The mapping method is then used to retrieve more solutions to the equation. Finally, the equation is studied with the aid of the variational iteration method. The numerical simulations are also given to complete the analysis.",

keywords = "Nonlinear media, Solitons",

author = "Ghodrat Ebadi and Krishnan, {E. V.} and Manel Labidi and Essaid Zerrad and Anjan Biswas",

note = "Funding Information: The research work of the last two authors (EZ and AB) was fully supported by the Army Research Office (ARO) and the Air Force Office of Scientific Research (AFOSR) under the award number: W54428-RT-ISP and this support is gratefully recognized.",

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T1 - Analytical and numerical solutions to the Davey-Stewartson equation with power-law nonlinearity

AU - Ebadi, Ghodrat

AU - Krishnan, E. V.

AU - Labidi, Manel

AU - Zerrad, Essaid

AU - Biswas, Anjan

N1 - Funding Information: The research work of the last two authors (EZ and AB) was fully supported by the Army Research Office (ARO) and the Air Force Office of Scientific Research (AFOSR) under the award number: W54428-RT-ISP and this support is gratefully recognized.

PY - 2011/11

Y1 - 2011/11

N2 - This paper studies the Davey-Stewartson equation. The traveling wave solution of this equation is obtained for the case of power-law nonlinearity. Subsequently, this equation is solved by the exponential function method. The mapping method is then used to retrieve more solutions to the equation. Finally, the equation is studied with the aid of the variational iteration method. The numerical simulations are also given to complete the analysis.

AB - This paper studies the Davey-Stewartson equation. The traveling wave solution of this equation is obtained for the case of power-law nonlinearity. Subsequently, this equation is solved by the exponential function method. The mapping method is then used to retrieve more solutions to the equation. Finally, the equation is studied with the aid of the variational iteration method. The numerical simulations are also given to complete the analysis.

KW - Nonlinear media

KW - Solitons

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DO - 10.1080/17455030.2011.606853

M3 - Article

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SN - 1745-5030

VL - 21

SP - 559

EP - 590

JO - Waves in Random and Complex Media

JF - Waves in Random and Complex Media

IS - 4

ER -

Analytical and numerical solutions to the Davey-Stewartson equation with power-law nonlinearity

Abstract

Keywords

ASJC Scopus subject areas

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