New travelling wave solutions for coupled fractional variant Boussinesq equation and approximate long water wave equation

DOI10.1108/HFF-04-2013-0126zbMath1356.35082OpenAlexW2045885666MaRDI QIDQ2967236

Limei Yan

Publication date: 28 February 2017

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/hff-04-2013-0126

zbMATH Keywords

fractional sub-equation methodfractional Riccati equationJumarie's modified fractional derivative

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Fractional partial differential equations (35R11)

Related Items (2)

Lie symmetry analysis, analytical solutions and conservation laws to the coupled time fractional variant Boussinesq equations ⋮ New travelling wave solutions for coupled fractional variant Boussinesq equation and approximate long water wave equation

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• Study on space-time fractional nonlinear biological equation in radial symmetry
• The Legendre wavelet method for solving fractional differential equations
• A fractional variational iteration method for solving fractional nonlinear differential equations
• Numerical studies for a multi-order fractional differential equation
• Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method
• Solving a nonlinear fractional differential equation using Chebyshev wavelets
• Exp-function method for nonlinear wave equations
• Travelling wave solutions for the generalized Zakharov-Kuznetsov equation with higher-order nonlinear terms
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Homotopy perturbation method: a new nonlinear analytical technique
• New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
• Application of the \(\frac{G^\prime}{G}\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Solving systems of fractional differential equations using differential transform method
• Numerical solutions of time‐fractional Burgers equations
• Exp‐function method for solitary and periodic solutions of Fitzhugh‐Nagumo equation
• Application of He's homotopy perturbation method for multi‐dimensional fractional Helmholtz equation
• A numerical algorithm for the space and time fractional Fokker‐Planck equation
• New travelling wave solutions for coupled fractional variant Boussinesq equation and approximate long water wave equation

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