Characteristics of lump solutions to a (3 + 1)-dimensional variable-coefficient generalized shallow water wave equation in oceanography and atmospheric science
College of Computer, Jiangxi University of Traditional Chinese Medicine, 330004, Jiangxi, China
2 Institute of artificial intelligence, Nanchang Institute of Science and Technology, 330108, Jiangxi, China
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Accepted: 3 June 2019
Published online: 12 August 2019
In this paper, a (3 + 1) -dimensional variable-coefficient generalized shallow water wave equation in oceanography and atmospheric science is investigated. Lump solutions are presented based on the Hirota's bilinear form and symbolic computation, and characteristics of lump solutions, such as the bright lump wave and the bright-dark lump wave, are demonstrated in some 3D graphs and contour plots.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019