Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations. (English) Zbl 1473.35636
Summary: We show how invariant subspace method can be extended to time fractional coupled nonlinear partial differential equations and construct their exact solutions. Effectiveness of the method has been illustrated through time fractional Hunter-Saxton equation, time fractional coupled nonlinear diffusion system, time fractional coupled Boussinesq equation and time fractional Whitman-Broer-Kaup system. Also we explain how maximal dimension of the time fractional coupled nonlinear partial differential equations can be estimated.
MSC:
| 35R11 | Fractional partial differential equations |
Keywords:
time fractional coupled nonlinear PDEs; invariant subspace method; Laplace transform method; Mittag-Leffler functionReferences:
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