Article
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Lump Waves in a Spatial Symmetric Nonlinear Dispersive Wave Model in (2+1)-Dimensions
Version 1
: Received: 27 October 2023 / Approved: 30 October 2023 / Online: 30 October 2023 (07:05:58 CET)
A peer-reviewed article of this Preprint also exists.
Ma, W.-X. Lump Waves in a Spatial Symmetric Nonlinear Dispersive Wave Model in (2+1)-Dimensions. Mathematics 2023, 11, 4664. Ma, W.-X. Lump Waves in a Spatial Symmetric Nonlinear Dispersive Wave Model in (2+1)-Dimensions. Mathematics 2023, 11, 4664.
Abstract
This paper aims to search for lump waves in a spatial symmetric (2+1)-dimensional dispersive wave model. Through an ansatz on positive quadratic functions, we conduct symbolic computations with Maple to generate lump waves for the proposed nonlinear model. A line of critical points of the lump waves is computed, whose two spatial coordinates travel at constant speeds. The corresponding maximum and minimum values are evaluated in terms of the wave numbers, and interestingly, all those extreme values do not change with time, either. The last section is the conclusion.
Keywords
Lump wave; Hirota bilinear form; Soliton; Symbolic computation; Nonlinearity; Dispersion
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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