4.3 Article

Lump and Interaction Solutions of Linear PDEs in (3+1)-Dimensions

Journal

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
Volume 9, Issue 1, Pages 185-194

Publisher

GLOBAL SCIENCE PRESS
DOI: 10.4208/eajam.100218.300318

Keywords

Symbolic computation; lump solution; interaction solution

Funding

  1. NSFC [11371326, 11301331, 11371086, 11571079, 51771083]
  2. NSF [DMS-1664561]
  3. Natural Science Fund for Colleges and Universities of Jiangsu Province [17KJB110020]
  4. Emphasis Foundation of Special Science Research on Subject Frontiers of the CUMT [2017XKZD11]
  5. Distinguished Professorships of the Shanghai University of Electric Power
  6. Shanghai Polytechnic University

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Linear partial differential equations in (3 + 1)-dimensions consisting of all mixed second-order derivatives are considered, and Maple symbolic computations are made to construct their lump and interaction solutions, including lump-periodic, lump-kink and lump-soliton solutions.

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