Construction of lump soliton and mixed lump stripe solutions of (3+1)-dimensional soliton equation

Abstract

In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump strip solutions of (3+1)-dimensional soliton equation, which is associating with the Hirota bilinear form. These lump soliton solutions rationally localized in all directions in the space. The solutions of interactions between a lump and a stripe are shown by graphic illustration of some special solutions which would give us a better understanding on the evolution of solutions of waves. Keywords: Lump solutions, Mixed lump strip solutions, (3+1)-Dimensional soliton equation, Hirota bilinear form