Feride Tiglay

AbstractWe study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by Novikov. Like the Camassa–Holm and Degasperis–Procesi equations, Novikov’s equation has Lax pair representations and admits peakon...

AbstractIn a pioneering paper V. Arnold presented a general framework within which it is possible to employ geometric and Lie theoretic techniques to study a variety of equations of interest in mathematical physics. I will describe how to extend his...