Document Type
Article
Publication Date
2018
Digital Object Identifier (DOI)
https://doi.org/10.1155/2018/9178480
Abstract
We explore dynamical features of lump solutions as diversion and propagation in the space. Through the Hirota bilinear method and the Cole-Hopf transformation, lump-type solutions and their interaction solutions with one- or two-stripe solutions have been generated for a generalized (3+1) shallow water-like (SWL) equation, via symbolic computations associated with three different ansatzes. The analyticity and localization of the resulting solutions in the (x, y, z, and t) space have been analyzed. Three-dimensional plots and contour plots are made for some special cases of the solutions to illustrate physical motions and peak dynamics of lump soliton waves in higher dimensions. The study of lump-type solutions moderates the visuality of optics media and oceanography waves.
Rights Information
This work is licensed under a Creative Commons Attribution 4.0 License.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Advances in Mathematical Physics, v. 2018, art. 9178480
Scholar Commons Citation
Sadat, R.; Kassem, M.; and Ma, Wen-Xiu, "Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model" (2018). Mathematics and Statistics Faculty Publications. 14.
https://digitalcommons.usf.edu/mth_facpub/14
