Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations. (November 2016)

• Record Type: Journal Article
• Authors: Tang, Yaning; Tao, Siqiao; Guan, Qing
• Is Part Of: Computers & mathematics with applications. Volume 72:issue 9(2016)
• Page Start: 2334
• Page End: 2342
• Publication Date: 2016-11
• Subjects: Lump soliton -- A direct method -- Interaction -- (2+1)-dimensional Ito equation -- (2+1)-dimensional CDGKS equation; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.08.027
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: Lump solitons are obtained from ( 2 + 1 ) -dimensional Ito equation and ( 2 + 1 ) -dimensional CDGKS equation by using a direct method and the completely non-elastic interaction between a lump and a stripe of ( 2 + 1 ) -dimensional Ito equation is presented, which shows a lump soliton is drowned or swallowed by a stripe soliton. The direct method is based on Hirota bilinear form of the equations that have special solutions of quadratic function. The general formula of coordinates of the vertex and the amplitude of lump solitons are given. The dynamical character shows in this work enriches the variety of the dynamics of higher dimensional nonlinear wave field.