Soliton solution for the Korteweg-de Vries equation

dc.contributor.author	Mucalica, Ana
dc.date.accessioned	2023-02-02T21:29:06Z
dc.date.available	2023-02-02T21:29:06Z
dc.date.issued	2022
dc.description.abstract	Korteweg de Vries (KdV) model is considered quintessential in modeling the surface gravity water waves in shallow water. In this project, we are interested in starting from the Elliptic Jacobian Functions, and performing a complete analysis of these functions to discover that one can recover the soliton in the particular case, when m approaches 1, where m is a parameter between 0 and 1 in the definition of the Elliptic Jacobian Functions. This analysis will provide us with an understanding of cnoidal periodic waves and how, through them, we can derive the soliton solution. Finally, this project grants readers a deeper understanding of the origin of solitons and their applications in water wave theory.
dc.identifier.citation	Mucalica, A. (2022). Soliton Solution for the Korteweg-de Vries Equation. MacEwan University Student EJournal, 6(1). https://doi.org/10.31542/muse.v6i1.2262
dc.identifier.doi	https://doi.org/10.31542/muse.v6i1.2262
dc.identifier.uri	https://hdl.handle.net/20.500.14078/2947
dc.language.iso	en
dc.rights	Attribution-NonCommercial (CC BY-NC)
dc.rights.uri	https://creativecommons.org/licenses/by-nc/4.0/
dc.subject	solitons
dc.subject	Korteweg de Vries (KdV) model
dc.title	Soliton solution for the Korteweg-de Vries equation
dc.type	Student Article

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