Solitons for a supersymmetric seventh-order KdV equation by superbilinear approach

Abstract

In this paper, a N = 1 supersymmetric seventhorder KdV equation is proposed. We bilinearize this equation with Hirota's bilinear method to obtain its one-and twosupersoliton solutions. It's shown that the N -supersoliton solution only exists for a particular choice of parameters.