Acta Mathematica Scientia

, Volume 39, Issue 2, pp 498–508 | Cite as

Lump and Interaction Solutions to Linear (4+1)-Dimensional PDEs

  • Wen-Xiu MaEmail author


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.

Key words

symbolic computation lump solution interaction solution 

2010 MR Subject Classification

35Q51 35Q53 37K40 


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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.College of Mathematics and PhysicsShanghai University of Electric PowerShanghaiChina
  2. 2.Department of MathematicsKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of Mathematics and StatisticsUniversity of South FloridaTampaUSA
  4. 4.Department of MathematicsZhejiang Normal UniversityJinhuaChina
  5. 5.College of Mathematics and Systems ScienceShandong University of Science and TechnologyQingdaoChina
  6. 6.International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical SciencesNorth-West University, Mafikeng CampusMmabathoSouth Africa

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