The comparison of two reliable methods for accurate solution of time-fractional Kaup-Kupershmidt equation arising in capillary gravity waves

DOI10.1002/mma.3503zbMath1334.35389OpenAlexW2103099892MaRDI QIDQ2786717

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Publication date: 23 February 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3503

zbMATH Keywords

Caputo derivativeoptimal homotopy asymptotic methodfractional Kaup-Kupershmidt equationLegendre multiwavelet method

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Initial value problems for nonlinear higher-order PDEs (35G25) Fractional partial differential equations (35R11)

Related Items (9)

A hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation ⋮ Exact solutions to the time-fractional differential equations via local fractional derivatives ⋮ Numerical wavelets scheme to complex partial differential equation arising from Morlet continuous wavelet transform ⋮ Symmetry analysis and conservation laws of the time fractional Kaup-Kupershmidt equation from capillary gravity waves ⋮ Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation ⋮ A novel attempt for finding comparatively accurate solution for sine‐Gordon equation comprising Riesz space fractional derivative ⋮ Comparative study between optimal homotopy asymptotic method and perturbation-iteration technique for different types of nonlinear equations ⋮ Solution of generalised fuzzy fractional Kaup-Kupershmidt equation using a robust multi parametric approach and a novel transform ⋮ A fast numerical method for fractional partial differential equations

Cites Work

• An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
• Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
• Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations
• On numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method
• On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψ_xxx + 6Qψ_x + 6R_ψ = λψ
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