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Ma, W.X. and Zhou, Y. (2016) Lump Solutions to Nonlinear Partial Differential Equations via Hirota Bilinear Forms. Journal of Differential Equations, 264, 2633-2659.

has been cited by the following article:

• TITLE: Integrability Tests and Some New Soliton Solutions of an Extended Potential Boiti-Leon-Manna-Pempinelli Equation

  AUTHORS: Miao Li, Wei Tan, Houping Dai

  KEYWORDS: BLMP Equation, Lump Type Solution, Interaction Behavior, Parameter Limit Method, Hirota’s Bilinear Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.10, October 12, 2022

  ABSTRACT: This paper is devoted to the study of a (2 + 1)-dimensional extended Potential Boiti-Leon-Manna-Pempinelli equation. Firstly, By means of the standard Weiss Tabor Carnevale approach and Kruskal’s simplification, we prove the painlevé non integrability of the equation. Secondly, A new breather solution and lump type solution are obtained based on the parameter limit method and Hirota’s bilinear method. Besides, some interaction behavior between lump type solution and N-soliton solutions (N is any positive integer) are studied. We construct the existence theorem of the interaction solution and give the process of calculation and proof. We also give a concrete example to illustrate the effectiveness of the theorem, and some spatial structure figures are displayed to reflect the evolutionary behavior of the interaction solutions with the change of soliton number N and time t.