Back close

Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations

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

Admissions Apply Now