On uniqueness properties of solutions of the k-generalized KdV equations

In this paper we study uniqueness properties of solutions of the so-called k-generalized Korteweg–de Vries equations. Our goal is to obtain sufficient conditions on the behavior of the difference u1−u2 of two solutions u1,u2 of (1.1) at two different times t0=0 and t1=1 which guarantee that u1≡u2.