Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles

The current paper undertakes an in-depth exploration of the dynamics of nonlinear waves governed by a 3D-modified nonlinear wave equation, a significant model in the study of complex wave phenomena. To this end, the study employs both classical and nonclassical Lie symmetries for rigorously deriving...

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Vydáno v:	Boundary value problems Ročník 2024; číslo 1; s. 111 - 25
Hlavní autoři:	Alizadeh, Farzaneh, Hosseini, Kamyar, Sirisubtawee, Sekson, Hincal, Evren
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 12.09.2024 Hindawi Limited SpringerOpen
Témata:	3D-modified nonlinear wave equation Analysis Approximations and Expansions Bifurcation analysis Bifurcation theory Classical and nonclassical Lie symmetries Difference and Functional Equations Dynamic systems theory Dynamical systems Elliptic functions Exact solutions Fluid dynamics Impact analysis Invariant solutions Jacobi elliptic function solutions Mathematics Mathematics and Statistics Nonlinear dynamics Ordinary Differential Equations Parameter modification Partial Differential Equations Physical properties Plasma physics Solitary waves System theory Wave equations Jacobi elliptic function solutions Invariant solutions 3D-modified nonlinear wave equation Bifurcation analysis 76M60 Classical and nonclassical Lie symmetries 35C08 35A09 35C07
ISSN:	1687-2770, 1687-2762, 1687-2770
On-line přístup:	Získat plný text
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