THERMAL SCIENCE

International Scientific Journal

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Wei Tan

,

Zheng-De Dai

,

Hou-Ping Dai

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
2+1-dimensional Ito equation, Lump solution, Dynamics analysis, Hirota bilinear method
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
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 4, PAGES [1673 - 1679]
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Dynamical analysis of lump solution for the (2+1)-Dimensional Ito equation

© 2024 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