Lump Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2019,（6）
• 页码范围: 658-662
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0253-6102/71/6/658

摘要

Based on the Hirota bilinear operators and their generalized bilinear derivatives,we formulate two new (2+1)-dimensional nonlinear partial differential equations,which possess lumps.One of the new nonlinear differential equations includes the generalized Calogero-Bogoyavlenskii-Schiff equation and the generalized BogoyavlenskyKonopelchenko equation as particular examples,and the other has the same bilinear form with different Dp-operators.A class explicit lump solutions of the new nonlinear differential equation is constructed by using the Hirota bilinear approaches.A specific case of the presented lump solution is plotted to shed light on the charateristics of the lump.