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THERMAL SCIENCE
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DYNAMICAL ANALYSIS OF LUMP SOLUTION FOR THE (2+1)-DIMENSIONAL ITO EQUATION
ABSTRACT
Exact kinky breather-wave solution, periodic breather-wave solution and some lump solutions to the (2+1)-dimensional Ito equation are obtained by using an extended homoclinic test technique and Hirota bilinear method with a perturbation parameter uo. Furthermore, a new nonlinear phenomenon in the lump solution, is investigated and discussed. These interesting nonlinear phenomena might provide us with useful information on the dynamics of higher-dimensional nonlinear wave field.
KEYWORDS
PAPER SUBMITTED: 2016-08-12
PAPER REVISED: 2016-10-15
PAPER ACCEPTED: 2016-11-25
PUBLISHED ONLINE: 2017-06-04
DOI REFERENCE: https://doi.org/10.2298/TSCI160812145T
CITATION EXPORT: view in browser or download as text file
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© 2026 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