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.