Lump-soliton interaction solutions to differential-difference mKdV systems in (2+1)-dimensions

Autor: Kai Zhou, Ya-Nan Hu, Jun-Da Peng, Kai-Zhong Shi, Shou-Feng Shen, Wen-Xiu Ma
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Results in Physics, Vol 59, Iss , Pp 107579- (2024)
Druh dokumentu: article
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2024.107579
Popis: Lump-soliton interaction solutions to continuous integrable systems have been pretty well studied, but there are relatively few results in the differential-difference (DΔ) case. In this paper, some (2+1)-dimensional DΔ-mKdV systems are investigated by using Hirota’s bilinear operator method. By setting appropriate variable transformations and assuming auxiliary functions as quadratic and exponential functions, lump-soliton interaction solutions are derived. Certain fission∖fusion phenomena of the physical quantity, the velocity of the potential, are explored by analyzing dynamical behaviors of the resultant solutions with different values of the involved parameters.
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