Publication Type : Journal Article
Publisher : Communications in Nonlinear Science and Numerical Simulation
Source : Communications in Nonlinear Science and Numerical Simulation, Volume 42, 2017, Pages 158-177
Url : https://doi.org/10.1016/j.cnsns.2016.05.017.
Campus : Coimbatore
School : School of Engineering
Department : Mathematics
Year : 2017
Abstract : 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.
Cite this Research Publication : R. Sahadevan, P. Prakash, Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations, Communications in Nonlinear Science and Numerical Simulation, Volume 42, 2017, Pages 158-177