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Kadomtsev–Petviashvili-like equation; generalised Hirota bilinear method; lump solution; periodic kink-wave solution; solitary wave solution

In this paper, we use the generalised Hirota bilinear method (GHBM). With the help of symbolic calculations and applying the used method, we solve the Kadomtsev–Petviashvili (KP)-like equation with $p$ = 3 to obtain some new lump, periodic kink-wave and solitary wave solutions. All solutions have been verified with their corresponding equations with the aid of the Maple package program.

MOHAMMAD SHAHRIARI¹ JALIL MANAFIAN²

1. Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran
2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Published

1 July 2019

Manuscript received

6 August 2018

Manuscript revised

5 December 2018

Accepted

13 December 2018

Early published

Unedited version published online

Final version published online

16 April 2019