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Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation
Journal article   Peer reviewed

Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation

Yuan Zhou, Solomon Manukure and Wen-Xiu Ma
Communications in nonlinear science & numerical simulation, Vol.68, pp.56-62
01/03/2019
DOI: https://doi.org/10.1016/j.cnsns.2018.07.038

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Physics Physics, Fluids & Plasmas Physics, Mathematical Science & Technology Technology
We apply the Hirota direct method to construct lump and interaction solutions to the Hirota-Satsuma-Ito (HSI) equation. We establish a general theory for finding the lump-soliton to (2+1)-dimensional nonlinear PDEs. We generate the corresponding lump and lump-soliton solutions to the HSI equation by the logarithm transformation of the dependent variables. (C) 2018 Elsevier B.V. All rights reserved.

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