Bäcklund transformation and soliton solutions for the coupled dispersionless equations

T. Alagesan; Y. Chung; Nakkeeran Kaliyaperumal

doi:10.1016/S0960-0779(03)00186-3

Bäcklund transformation and soliton solutions for the coupled dispersionless equations

T. Alagesan, Y. Chung, Nakkeeran Kaliyaperumal

Engineering

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

43 Citations (Scopus)

Abstract

The Painleve test is employed to predict the integrability properties of the coupled dispersionless system equations. From the analysis, it is shown that these systems admit the Painleve property and possess Hirota bilinear form. The one-soliton solutions of the coupled dispersionless system are generated through Backlund transformation using the linear eigenvalue problem. (C) 2004 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	63-67
Number of pages	4
Journal	Chaos, Solitons & Fractals
Volume	21
DOIs	https://doi.org/10.1016/S0960-0779(03)00186-3
Publication status	Published - 2004

Keywords

PAINLEVE PROPERTY
DIFFERENTIAL-EQUATIONS
CONSERVATION-LAWS
HIERARCHY
SYSTEMS
MODELS

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10.1016/S0960-0779(03)00186-3

Cite this

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title = "B{\"a}cklund transformation and soliton solutions for the coupled dispersionless equations",

abstract = "The Painleve test is employed to predict the integrability properties of the coupled dispersionless system equations. From the analysis, it is shown that these systems admit the Painleve property and possess Hirota bilinear form. The one-soliton solutions of the coupled dispersionless system are generated through Backlund transformation using the linear eigenvalue problem. (C) 2004 Elsevier Ltd. All rights reserved.",

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author = "T. Alagesan and Y. Chung and Nakkeeran Kaliyaperumal",

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T1 - Bäcklund transformation and soliton solutions for the coupled dispersionless equations

AU - Alagesan, T.

AU - Chung, Y.

AU - Kaliyaperumal, Nakkeeran

PY - 2004

Y1 - 2004

N2 - The Painleve test is employed to predict the integrability properties of the coupled dispersionless system equations. From the analysis, it is shown that these systems admit the Painleve property and possess Hirota bilinear form. The one-soliton solutions of the coupled dispersionless system are generated through Backlund transformation using the linear eigenvalue problem. (C) 2004 Elsevier Ltd. All rights reserved.

AB - The Painleve test is employed to predict the integrability properties of the coupled dispersionless system equations. From the analysis, it is shown that these systems admit the Painleve property and possess Hirota bilinear form. The one-soliton solutions of the coupled dispersionless system are generated through Backlund transformation using the linear eigenvalue problem. (C) 2004 Elsevier Ltd. All rights reserved.

KW - PAINLEVE PROPERTY

KW - DIFFERENTIAL-EQUATIONS

KW - CONSERVATION-LAWS

KW - HIERARCHY

KW - SYSTEMS

KW - MODELS

U2 - 10.1016/S0960-0779(03)00186-3

DO - 10.1016/S0960-0779(03)00186-3

M3 - Article

SN - 0960-0779

VL - 21

SP - 63

EP - 67

JO - Chaos, Solitons & Fractals

JF - Chaos, Solitons & Fractals

ER -

Bäcklund transformation and soliton solutions for the coupled dispersionless equations

Abstract

Keywords

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