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

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...

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Bibliographic Details
Published in:Ricerche di matematica 2024-09, Vol.73 (4), p.1793-1800
Main Authors: Kiliç, S. Ş. Ş., Çelik, E.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Mathematics
Mathematics and Statistics
Numerical Analysis
Probability Theory and Stochastic Processes
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Summary: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.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-022-00698-1