Prolongation Approach to Bäcklund Transformation of Zhiber-Mikhailov-Shabat Equation

Details Prolongation Approach to Bäcklund Transformation of Zhiber-Mikhailov-Shabat Equation Prolongation Approach to Bäcklund Transformation of Zhiber-Mikhailov-Shabat Equation

1996-07-02

arxiv.org/abs/hep-th/9607014v1

J.Math.Phys. 37 (1996) 3491-3497

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, no figures, to appear in J. Math. Phys. (1996)

Scientific paper

10.1063/1.531576

The prolongation structure of Zhiber-Mikhailov-Shabat (ZMS) equation is studied by using Wahlquist-Estabrook's method. The Lax-pair for ZMS equation and Riccati equations for pseudopotentials are formulated respectively from linear and nonlinear realizations of the prolongation structure. Based on nonlinear realization of the prolongation structure, an auto-B$\ddot{a}$cklund transformation of ZMS equation is obtained.

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