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Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients
Joint Authors
Chen, Wei-Qin
Guan, Qing-Feng
Jiang, Chao-Fan
Zhang, Fei-Fan
Wang, Lei
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Under investigation in this paper is a (3 + 1)-dimensional variable-coefficient generalized shallow water wave equation.
The exact lump solutions of this equation are presented by virtue of its bilinear form and symbolic computation.
Compared with the solutions of the previous cases, these solutions contain two inhomogeneous coefficients, which can show some interesting nonautonomous characteristics.
Three types of dispersion coefficients are considered, including the periodic, exponential, and linear modulations.
The corresponding nonautonomous lump waves have different characteristics of trajectories and velocities.
The periodic fission and fusion interaction between a lump wave and a kink soliton is discussed graphically.
American Psychological Association (APA)
Chen, Wei-Qin& Guan, Qing-Feng& Jiang, Chao-Fan& Zhang, Fei-Fan& Wang, Lei. 2019. Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients. Complexity،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1132411
Modern Language Association (MLA)
Guan, Qing-Feng…[et al.]. Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients. Complexity No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1132411
American Medical Association (AMA)
Chen, Wei-Qin& Guan, Qing-Feng& Jiang, Chao-Fan& Zhang, Fei-Fan& Wang, Lei. Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients. Complexity. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1132411
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132411