100 citations · 606 across the 37 of their papers we have counts for
37 papers
Symmetry structure of integrable hyperbolic third order equations
Alexander G. Rasin, Jeremy Schiff
We explore the application of generating symmetries, i.e. symmetries that depend on a parameter, to integrable hyperbolic third order equations, and in particular to consistent pai…
Four Symmetries of the KdV equation
Alexander G. Rasin, Jeremy Schiff
We revisit the symmetry structure of integrable PDEs, looking at the specific example of the KdV equation. We identify 4 nonlocal symmetries of KdV depending on a parameter, which…
Conservative, Dissipative and Super-diffusive Behavior of a Particle Propelled in a Regular Flow
Gil Ariel, Jeremy Schiff
A recent model of Ariel et al. [1] for explaining the observation of Lévy walks in swarming bacteria suggests that self-propelled, elongated particles in a periodic array of regula…
Classification of Real Solutions of the Fourth Painleve Equation
Jeremy Schiff, Michael Twiton
Painleve transcendents are usually considered as complex functions of a complex variable, but in applications it is often the real cases that are of interest. Under a reasonable as…
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…
A Dynamical Systems Approach to The Fourth Painleve Equation
Jeremy Schiff, Michael Twiton
We use methods from dynamical systems to study the fourth Painleve equation PIV. Our starting point is the symmetric form of PIV, to which the Poincare compactification is applied.…