New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach

• DOI: 10.1016/j.chaos.2004.06.082
• Publication Date: 2004-09-14T18:04:48Z
• Authors: Chun-Long Zheng; Jian-Ping Fang; Li-Qun Chen
• Keywords: 0103 physical sciences; 01 natural sciences

Abstract By means of an extended mapping approach, a new type of variable separation excitation with three arbitrary functions of the (2 + 1)-dimensional dispersive long-water wave system (DLW) is derived. Based on the derived variable separation excitation, abundant localized structures such as dromion, ring, peakon and foldon etc. are re-revealed by selecting appropriate functions in this paper.