摘要
Taking a class of linear(4+1)-dimensional partial differential equations as examples, we would like to show that there exist lump solutions and interaction solutions in(4+1)-dimensions. We will compute abundant lump solutions and interaction solutions to the considered linear(4+1)-dimensional partial differential equations via symbolic computations,and plot three specific solutions with Maple plot tools, which supplements the existing literature on lump, rogue wave and breather solutions and their interaction solutions in soliton theory.
Taking a class of linear(4+1)-dimensional partial differential equations as examples, we would like to show that there exist lump solutions and interaction solutions in(4+1)-dimensions. We will compute abundant lump solutions and interaction solutions to the considered linear(4+1)-dimensional partial differential equations via symbolic computations,and plot three specific solutions with Maple plot tools, which supplements the existing literature on lump, rogue wave and breather solutions and their interaction solutions in soliton theory.
作者
Wen-Xiu MA
马文秀(College of Mathematics and Physics, Shanghai University of Electric Power;Department of Mathematics, King Abdulaziz University;Department of Mathematics and Statistics, University of South Florida;Department of Mathematics, Zhejiang Normal University;College of Mathematics and Systems Science, Shandong University of Science and Technology;International Institute for Symmetry Analysis and Mathematical Modelling,Department of Mathematical Sciences, North-West University, Mafikeng Campus)
基金
supported in part by NSFC(11301331,11371086,11571079 and 51771083)
NSF under the grant DMS-1664561
Shanghai Pujiang Program(14PJD007)
the Natural Science Foundation of Shanghai(14ZR1403500)
Natural Science Fund for Colleges and Universities of Jiangsu Province under the grant 17KJB110020
Emphasis Foundation of Special Science Research on Subject Frontiers of CUMT under Grant No.2017XKZD11
the Distinguished Professorships by Shanghai University of Electric Power,China and North-West University,South Africa
