Miura and Generalized Bäcklund Transformation for KdV Hierarchy

Abstract

Using the fact that Miura transformation can be expressed in the form of gauge transformation connecting the KdV and mKdV equations, we discuss the derivation of the Bäcklund transformation and its Miura-gauge transformation connecting both hierarchies.

21 pages

References in corpus (2)

• Backlund Transformation for Integrable Hierarchies: example - mKdV Hierarchy
• Gauge transformations and symmetries of integrable systems

Cited by in corpus (1)

• Gauge Miura and Backlund Transformations for Generalized $A_n$-KdV Hierarchies