Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 42, Issue -, Pages 158-177Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2016.05.017
Keywords
Time fractional coupled nonlinear PDEs; Invariant subspace method; Laplace transform method; Mittag-Leffler function
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Funding
- University Grants Commission, New Delhi through Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai
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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. (C) 2016 Elsevier B.V. All rights reserved.
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