Singularity structure analysis and Hirota's bilinearisation of the coupled integrable dispersionless equations
type: Item
instance of: scholarly article
title: Singularity structure analysis and Hirota's bilinearisation of the coupled integrable dispersionless equations
zbMATH Open document ID: 0939.35166
DOI: 10.1016/S0960-0779(96)00165-8
author: T. Alagesan
author: K. Porsezian
published in: Chaos, Solitons and Fractals
publication date: 2000-01-24T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35A20
zbMATH DE Number: 1392763
zbMATH Keywords: Painlevé property
zbMATH Keywords: Bäcklund transformation
zbMATH Keywords: sine-Gordon equation
MaRDI profile type: Publication
cites work: A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
cites work: The Painlevé property for partial differential equations
cites work: On classes of integrable systems and the Painlevé property
cites work: The sine-Gordon equations: Complete and partial integrability
cites work: Nonlinear Schrodinger equation, Painleve test, Backlund transformation and solutions
cites work: Painleve analysis and integrability of coupled non-linear Schrodinger equations
cites work: Painlevé analysis and complete integrability of coupled Klein-Gordon equations
cites work: Painlevé property of the inhomogeneous coupled nonlinear Schrödinger equations
cites work: The Painlevé conjecture, the Painlevé property for partial differential equations and complete integrability
cites work: Painleve analysis of the non-linear Schrodinger family of equations
cites work: Painlevé analysis and the integrability properties of coupled integrable dispersionless equations.
cites work: A Generalization of Coupled Integrable, Dispersionless System
cites work: On Equations Gauge Equivalent to the Sine-Gordon and Pohlmeyer-Lund-Regge Equations
cites work: On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system
cites work: A unified approach to Painlevé expansions
full work available at URL: s0960-0779(96)00165-8
OpenAlex ID: W2035660050
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description: scientific article; zbMATH DE number 1392763