Lie symmetry analysis, analytical solutions and conservation laws to the coupled time fractional variant Boussinesq equations
DOI10.1080/17455030.2019.1577583OpenAlexW2925180401WikidataQ128187446 ScholiaQ128187446MaRDI QIDQ5885258
Publication date: 3 April 2023
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2019.1577583
Riemann-Liouville fractional derivativeLie group analysisinvariant subspace methodpower series method
Incompressible viscous fluids (76D99) Fractional derivatives and integrals (26A33) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lie symmetry analysis of the time fractional KdV-type equation
- Fractional sub-equation method and its applications to nonlinear fractional PDEs
- A foundational approach to the Lie theory for fractional order partial differential equations
- Application of Exp-function method to a KdV equation with variable coefficients
- New structures for the space-time fractional simplified MCH and SRLW equations
- Conservation laws for time-fractional subdiffusion and diffusion-wave equations
- Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition
- A new conservation theorem
- On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy
- Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- 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 for two dimensional time-fractional wave equation
- On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations
- An extended Korteweg-de Vries equation: multi-soliton solutions and conservation laws
- A (2+1)-dimensional breaking soliton equation: solutions and conservation laws
- Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators
- The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
- Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations
- Conservation laws for certain time fractional nonlinear systems of partial differential equations
- Lie symmetry analysis, conservation laws and exact solutions of the time-fractional generalized Hirota-Satsuma coupled KdV system
- Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
- Solving systems of fractional differential equations using differential transform method
- Solution of fractional differential equations by using differential transform method
- New travelling wave solutions for coupled fractional variant Boussinesq equation and approximate long water wave equation
- Functional Fractional Calculus
- Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
- Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
- Advances in Fractional Calculus
This page was built for publication: Lie symmetry analysis, analytical solutions and conservation laws to the coupled time fractional variant Boussinesq equations