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A class of mixed integrable models

J F Gomes1, G R de Melo1,2 and A H Zimerman1

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The algebraic structure of the integrable mixed mKdV/sinh-Gordon model is discussed and extended to the AKNS/Lund–Regge model and to its corresponding supersymmetric versions. The integrability of the models is guaranteed from the zero curvature representation and some soliton solutions are discussed.


PACS

05.45.Yv Solitons

02.10.Ud Linear algebra

02.30.Jr Partial differential equations

MSC

35Q51 Solitons (See also 37K40)

35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.) (See also 37K10)

35G25 Initial value problems for nonlinear higher-order PDE, nonlinear evolution equations

35Q58 Other completely integrable equations (See also 37J35, 37K10)

35Q15 Riemann-Hilbert problems (See also 30E25, 31A25, 31B20)

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 27 (10 July 2009)

Received 10 March 2009

Published 17 June 2009



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