Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations

dc.contributor.authorKumar, Sachin
dc.contributor.authorKumar Dhiman, Shubham
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorOsman, M.S.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-04-03T13:34:41Z
dc.date.available2024-04-03T13:34:41Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with timedependent variable coefficients that describe the nonlinear wave propagation of small-amplitude surface waves in narrow channels or large straits with slowly varying width and depth and nonvanishing vorticity. These two variable coefficients, Kadomtsev–Petviashvili (VCKP) equations in (2+1)-dimensions, are the main extensions of the KP equation. Applying the Lie symmetry technique, we carry out infinitesimal generators, potential vector fields, and various similarity reductions of the considered VCKP equations. These VCKP equations are converted into nonlinear ODEs via two similarity reductions. The closed-form analytic solutions are achieved, including in the shape of distinct complex wave structures of solitons, dark and bright soliton shapes, double W-shaped soliton shapes, multi-peakon shapes, curved-shaped multi-wave solitons, and novel solitary wave solitons. All the obtained solutions are verified and validated by using back substitution to the original equation through Wolfram Mathematica. We analyze the dynamical behaviors of these obtained solutions with some three-dimensional graphics via numerical simulation. The obtained variable coefficient solutions are more relevant and useful for understanding the dynamical structures of nonlinear KP equations and shallow water wave models.en_US
dc.description.publishedMonth3
dc.identifier.citationKumar, Sachin;...et.al. (2022). "Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations", Symmetry, Vol.14, No.3.en_US
dc.identifier.doi10.3390/sym14030597
dc.identifier.issue3en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7860
dc.identifier.volume14en_US
dc.language.isoenen_US
dc.relation.ispartofSymmetryen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectKP Equations With Variable Coefficientsen_US
dc.subjectLie Symmetry Techniqueen_US
dc.subjectExact Solutionsen_US
dc.subjectSolitonsen_US
dc.titleLie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equationstr_TR
dc.titleLie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional Kp Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Article.pdf
Size:
1.64 MB
Format:
Adobe Portable Document Format
Description:
Yayıncı sürümü

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: