A. Pankov, K. Pflueger
Periodic and Solitary Traveling Wave Solutions for the Generalized Kadomtsev-Petviashvili Equation, II
Preprint series: Institut fr Mathematik, Humboldt-Universitt zu Berlin (ISSN 0863-0976)

MSC:

35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.), See also {58F07}

35B10 Periodic solutions

35A35 Theoretical approximation to solutions

35A15 Variational methods

Abstract: As a continuation of our previous work, we improve here some
results on convergence of periodic KP traveling waves to solitary ones as
period goes to infinity. In addition, we present some qualitative properties
of such waves, as well as nonexistence results, in the case of general
nonlonearities. We suggest here an approach which does not use any scaling
argument.
Keywords: generalized Kadomtsev-Petviashvili equation, traveling waves, variational methods