On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger's equations using homotopy analysis transform method
DOI10.1016/j.cjph.2019.11.004OpenAlexW2990918991WikidataQ126768979 ScholiaQ126768979MaRDI QIDQ6126613
Eman. H. F. AL-Shareef, José Francisco Gómez-Aguilar, Khaled M. Saad, Dumitru Baleanu, A. K. Alomari
Publication date: 9 April 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cjph.2019.11.004
fractional calculusKorteweg-de Vries equationCaputo fractional derivativehomotopy analysis transform methodKorteweg-de Vries-Burger's equation
Functions of one variable (26Axx) General theory for ordinary differential equations (34Axx) Other special functions (33Exx)
Related Items (10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematical properties of \(\hbar\)-curve in the frame work of the homotopy analysis method
- Homotopy perturbation transform method for nonlinear equations using He's polynomials
- Control of error in the homotopy analysis of semi-linear elliptic boundary value problems
- A study on the convergence of homotopy analysis method
- An optimal homotopy-analysis approach for strongly nonlinear differential equations
- Traveling wave solutions to a reaction-diffusion equation
- On the homotopy analysis method for nonlinear problems.
- A Laplace decomposition algorithm applied to a class of nonlinear differential equations
- Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations
- Unique and multiple PHAM series solutions of a class of nonlinear reactive transport model
- A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain
- Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
- Predictor homotopy analysis method: two points second order boundary value problems
- A one step optimal homotopy analysis method for propagation of harmonic waves in nonlinear generalized magnetothermoelasticity with two relaxation times under influence of rotation
- Homotopy analysis Sumudu transform method for time-fractional third order dispersive partial differential equation
- Numerical solution of Duffing equation by the Laplace decomposition algorithm
- Comparison between the homotopy analysis method and homotopy perturbation method
- Analytic solution for rotating flow and heat transfer analysis of a third-grade fluid
- Predictor homotopy analysis method (PHAM) for nano boundary layer flows with nonlinear Navier boundary condition: Existence of four solutions
- A new analytical technique to solve Volterra's integral equations
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method
- Travelling wave solutions and proper solutions to the two-dimensional Burgers–Korteweg–de Vries equation
- On travelling wave solutions of the Burgers–Korteweg–de Vries equation
- A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
- A non-linear equation incorporating damping and dispersion
This page was built for publication: On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger's equations using homotopy analysis transform method