Reliable methods to study some nonlinear conformable systems in shallow water
DOI10.1186/S13662-020-02686-XzbMath1482.35242OpenAlexW3029876275MaRDI QIDQ2078189
Altaf A. Al-Shawba, Amirah Azmi, Farah Aini Abdullah, M. Ali Akbar
Publication date: 25 February 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02686-x
two-variable expansion methodtime-fractional Boussinesq-Burgers equationstime-fractional Whitham-Broer-Kaup equations
Fractional derivatives and integrals (26A33) Soliton equations (35Q51) Traveling wave solutions (35C07) Soliton solutions (35C08) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new fractional Jacobi elliptic equation method for solving fractional partial differential equations
- Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Random-order fractional differential equation models
- The \((G'/G,1/G)\)-expansion method and its application to travelling wave solutions of the Zakharov equations
- On a new class of fractional operators
- A generalized Lyapunov-type inequality in the frame of conformable derivatives
- Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation
- Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \)-expansion method
- Auxiliary equation method for time-fractional differential equations with conformable derivative
- A note on Caputo's derivative operator interpretation in economy
- Exact solutions of generalized Boussinesq-Burgers equations and (2+1)-dimensional Davey-Stewartson equations
- On the accurate discretization of a highly nonlinear boundary value problem
- Simplest equation method for some time-fractional partial differential equations with conformable derivative
- Optical soliton solutions to the \((2+1)\)-dimensional Chaffee-Infante equation and the dimensionless form of the Zakharov equation
- A new fractional modelling and control strategy for the outbreak of dengue fever
- New aspects of time fractional optimal control problems within operators with nonsingular kernel
- A new definition of fractional derivative
- Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation
- Exact traveling wave solutions of the Boussinesq-Burgers equation
- Sine-cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation
- Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations
- Variable Order Modeling of Diffusive-convective Effects on the Oscillatory Flow Past a Sphere
- A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
- A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence
- A novel method for travelling wave solutions of fractional Whitham–Broer–Kaup, fractional modified Boussinesq and fractional approximate long wave equations in shallow water
- Fractional diffusion in inhomogeneous media
- New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method
- Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations
This page was built for publication: Reliable methods to study some nonlinear conformable systems in shallow water