M. Euler, N. Euler, S. Lundberg, “Reciprocal Bäcklund transformations of autonomous evolution equations”, TMF, 2009, Volume 159, Number 3,Pages <nobr>418

This article is cited in 2 papers

Reciprocal Bäcklund transformations of autonomous evolution equations

M. Euler, N. Euler, S. Lundberg

Luleå University of Technology

Abstract: We discuss the construction of reciprocal Bäcklund transformations for evolution equations using integrating factors of zeroth and higher orders with their corresponding conservation laws. As an example, we consider the Harry Dym equation and the Schwarzian KdV equation.

Keywords: nonlinear evolution equation, Bäcklund transformation, conservation law, integrable evolution equation.

DOI: 10.4213/tmf6361