Lump-type solutions and lump solutions for the (2+l)-dimensional generalized Bogoyavlensky-Konopelchenko equation

摘要

In this paper, a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation is investigated. Lump-type solutions and lump solutions are obtained with aid of symbolic computation via Hirota bilinear method and the ansatz technique. By taking the function f in the Hirota bilinear form of the (2+1)-dimensional generalized BogoyavlenskyKonopelchenko equation as the general quadratic polynomial function, a kind of lump type solution which contains eleven parameters with six arbitrary independent parameters and two non-zero conditions is obtained. Lump solutions are found from the lump-type solutions via taking a special set of parameters, and the motion track of the lump is also described both theoretically and graphically. (C) 2018 Elsevier Ltd. All rights reserved.