Variable separation method for a nonlinear time fractional partial differential equation with forcing term
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Publication:1748182
DOI10.1016/j.cam.2017.09.045OpenAlexW2767586722WikidataQ115359811 ScholiaQ115359811MaRDI QIDQ1748182
Publication date: 9 May 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.09.045
rational solutionhyperbolic function solutiontrigonometric function solutionvariable separation methodAiry function solutiontime fractional PDE
KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)
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Cites Work
- Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves
- Local fractional similarity solution for the diffusion equation defined on Cantor sets
- Partial differential equations possessing Frobenius integrable decompositions
- Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain
- On the time-fractional Navier-Stokes equations
- Weak solutions of the time-fractional Navier-Stokes equations and optimal control
- Exp-function method for traveling wave solutions of nonlinear evolution equations
- Adomian's decomposition method for solving an intermediate fractional advection-dispersion equation
- Variational iteration method -- some recent results and new interpretations
- Exp-function method for generalized traveling solutions of master partial differential equation
- Some relatively new techniques for nonlinear problems
- Complexiton solutions to the Korteweg-de Vries equation
- Lattice fractional diffusion equation in terms of a Riesz-Caputo difference
- Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation
- Variational iteration method for re-formulated partial differential equations
- Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
- Numerical solution of fractional advection-diffusion equation with a nonlinear source term
- An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives
- The fundamental solution of the space-time fractional advection-dispersion equation
- Fractional optical solitons
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Exp‐function method for solitary and periodic solutions of Fitzhugh‐Nagumo equation
- A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations
- Variable separation method for nonlinear time fractional biological population model
- Numerical soliton solution of the Kaup‐Kupershmidt equation
- On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
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