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Article 2024 · 29 citations

Complex solutions to the higher-order nonlinear boussinesq type wave equation transform

Kilic, S. S. S., Celik, E.

Abstract

The higher-order nonlinear Boussinesq type wave equation describes the propagation of small amplitude long capillary-gravity waves on the surface of shallow water. Mathematical physics, shallow water waves, fluid dynamics, and fluid movement are all examples of this model. To acquire exact solutions in the form of solitary wave and complex functions solutions, we use the (m + 1/G')-expansion method. These results aid mathematicians and physicians in comprehending the model's physical phenomena. This approach may be employed on different models in order to generate whole new solutions for nonlinear PDEs encountered in mathematical physics.

Keywords
The higher-order nonlinear Boussinesq type wave equation (m+1/G ')-expansion method Complex soliton solutions Physical phenomena EDGE-DETECTION MODEL SPACE
WoS Categories
Mathematics, Applied Mathematics
Citation
Journal
RICERCHE DI MATEMATICA
Year
2024
Volume
73
Issue
4
Pages
1793-1800
ISSN
0035-5038
eISSN
1827-3491
DOI
10.1007/s11587-022-00698-1
WoS UID
WOS:000791645500001
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