Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model
Joint Authors
Sadat, R.
Kassem, M.
Ma, Wen-Xiu
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Sadat, R.& Kassem, M.& Ma, Wen-Xiu. 2018. Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119324
Modern Language Association (MLA)
Sadat, R.…[et al.]. Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model. Advances in Mathematical Physics No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1119324
American Medical Association (AMA)
Sadat, R.& Kassem, M.& Ma, Wen-Xiu. Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119324
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119324