4.1 Article

Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation

Journal

FRONTIERS OF MATHEMATICS IN CHINA
Volume 13, Issue 3, Pages 525-534

Publisher

HIGHER EDUCATION PRESS
DOI: 10.1007/s11464-018-0694-z

Keywords

Symbolic computation; lump solution; soliton theory

Categories

Funding

  1. National Natural Science Foundation of China [11301454, 11301331, 11371086, 11571079, 51771083]
  2. NSF [DMS-1664561]
  3. Jiangsu Qing Lan Project for Excellent Young Teachers in University
  4. Six Talent Peaks Project in Jiangsu Province [2016-JY-081]
  5. Natural Science Foundation for Colleges and Universities in Jiangsu Province [17KJB110020]
  6. Natural Science Foundation of Jiangsu Province [BK20151160]
  7. Emphasis Foundation of Special Science Research on Subject Frontiers of CUMT [2017XKZD11]
  8. Shanghai University of Electric Power
  9. Shanghai Polytechnic University
  10. Direct For Mathematical & Physical Scien
  11. Division Of Mathematical Sciences [1664561] Funding Source: National Science Foundation

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A (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation that possesses a Hirota bilinear form is considered. Starting with its Hirota bilinear form, a class of explicit lump solutions is computed through conducting symbolic computations with Maple, and a few plots of a specicpresented lump solution are made to shed light on the characteristics of lumps. The result provides a new example of (2 + 1)-dimensional nonlinear partial differential equations which possess lump solutions.

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