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Explicit Solutions of Coupled Time Fractional Kaup-Boussinesq Equation with Weak Dispersion - MaRDI portal

Explicit Solutions of Coupled Time Fractional Kaup-Boussinesq Equation with Weak Dispersion (Q5026310)

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scientific article; zbMATH DE number 7470476

Language	Label	Description	Also known as
English	Explicit Solutions of Coupled Time Fractional Kaup-Boussinesq Equation with Weak Dispersion	scientific article; zbMATH DE number 7470476

Statements

scholarly article

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Explicit Solutions of Coupled Time Fractional Kaup-Boussinesq Equation with Weak Dispersion (English)

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Journal of Applied Nonlinear Dynamics

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publication date

7 February 2022

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zbMATH Keywords

Lie symmetry

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power series solution

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Kaup-Boussinesq equation

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conservation laws

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MaRDI profile type

MaRDI publication profile

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Fractals and fractional calculus in continuum mechanics

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Intermediate processes and critical phenomena: theory, method and progress of fractional operators and their applications to modern mechanics

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Integrable Shallow-Water Equations and Undular Bores

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Two-component integrable systems modelling shallow water waves: the constant vorticity case

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Solving nonlinear fractional partial differential equations using the homotopy analysis method

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Construction of exact solutions for fractional order differential equations by the invariant subspace method

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Exact solutions of nonlinear time fractional partial differential equations by sub‐equation method

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The Adomian decomposition method for solving partial differential equations of fractal order in finite domains

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Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method

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Conservation laws for certain time fractional nonlinear systems of partial differential equations

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Lie symmetry analysis of the time fractional KdV-type equation

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Complete Group Classifications and Symmetry Reductions of the Fractional Fifth-Order KdV Types of Equations

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Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations

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Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Asymptotic soliton train solutions of Kaup --- Boussinesq equations

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Symmetries and differential equations

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Symmetry and integration methods for differential equations

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Similarity solution to fractional nonlinear space-time diffusion-wave equation

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Approximation of the Erdélyi--Kober Operator with Application to the Time-Fractional Porous Medium Equation

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full work available at URL

https://doi.org/10.5890/jand.2019.12.006

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Identifiers

zbMATH Open document ID

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10.5890/JAND.2019.12.006

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5026310

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