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Lie symmetry analysis, power series solutions and conservation laws of time fractional coupled Boussinesq-Whitham-Broer-Kaup equations
  • Jicheng Yu
Jicheng Yu
Wuhan University of Science and Technology

Corresponding Author:[email protected]

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In this paper, Lie symmetry analysis method is applied to time fractional coupled Boussinesq-Whitham-Broer-Kaup equations, which is an important model in physics. The obtained Lie symmetries are utilized to reduce the system of fractional partial differential equations with Riemann-Liouville fractional derivative to the system of fractional ordinary differential equations with Erdélyi-Kober fractional derivative. Then the power series method is applied to derive explicit power series solutions for the reduced system. In addition, the new conservation theorem and the generalization of Noether operators are developed to construct the conservation laws for the equations studied.