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INTEGRABILITY AND LUMP-TYPE SOLUTIONS TO THE 3-D KADOMTSEV-PETVIASHVILI-BOUSSINESQ-LIKE EQUATION

ABSTRACT
The (3+1)-D Kadomtsev-Petviashvili-Boussinesq-like equation is studied, and its bilinear form, Backlund transformation and Lax pairs are elucidated. Lump-type solutions are obtained, which include periodic lump and interaction lump solutions, through the three-wave method and the ansatz method. The dynamic evolution mechanisms of solutions are illustrated graphically.
KEYWORDS
PAPER SUBMITTED: 2018-05-10
PAPER REVISED: 2018-07-02
PAPER ACCEPTED: 2018-08-28
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904373W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 4, PAGES [2373 - 2380]
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© 2022 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence