Prolongation Approach to B\"acklund Transformation of Zhiber-Mikhailov-Shabat Equation
Abstract
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-Backlund transformation of ZMS equation is obtained.
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