51 citations · 149 across the 9 of their papers we have counts for
9 papers
A simple-looking relative of the Novikov, Hirota-Satsuma and Sawada-Kotera equations
Alexander G. Rasin, Jeremy Schiff
We study the simple-looking scalar integrable equation , which is related (in different ways) to the Novikov, Hirota-Satsuma and Sawada-Kotera equatio…
Unfamiliar Aspects of Bäcklund Transformations and an Associated Degasperis-Procesi Equation
Alexander Rasin, Jeremy Schiff
We summarize the results of our recent work on Bäcklund transformations (BTs), particularly focusing on the relationship of BTs and infinitesimal symmetries. We present a BT for an…
Bäcklund Transformations for the Boussinesq Equation and Merging Solitons
Alexander Rasin, Jeremy Schiff
The Bäcklund transformation (BT) for the "good" Boussinesq equation and its superposition principles are presented and applied. Unlike many other standard integrable equations, the…
Bäcklund transformations for the Camassa-Holm equation
Alexander G. Rasin, Jeremy Schiff
The Bäcklund transformation (BT) for the Camassa-Holm (CH) equation is presented and discussed. Unlike the vast majority of BTs studied in the past, for CH the transformation acts…
The Gardner method for symmetries
Alexander G. Rasin, Jeremy Schiff
The Gardner method, traditionally used to generate conservation laws of integrable equations, is generalized to generate symmetries. The method is demonstrated for the KdV, Camassa…
Infinitely many symmetries and conservation laws for quad-graph equations via the Gardner method
Alexander G. Rasin
The application of the Gardner method for generation of conservation laws to all the ABS equations is considered. It is shown that all the necessary information for the application…