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Deformations of the Riccati equation by using Miura-type transformations

Sen-yue Lou

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Using some different Miura-type transformations, a C-integrable ordinary differential equation, the Riccati equation, is deformed to some different S-integrable models such as the (1 + 1)-dimensional and (2 + 1)-dimensional sinh - Gordon equations and Mikhailov - Dodd - Bullough equations.


PACS

02.30.Hq Ordinary differential equations

02.30.Ik Integrable systems

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

MSC

34A30 Linear equations and systems, general

37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 20 (21 October 1997)

Received 7 May 1997, in final form 14 July 1997



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