LIE SYMMETRY ANALYSIS AND CONSERVATION LAWS FOR A TIME FRACTIONAL PERTURBED STANDARD KDV EQUATION IN THE STATIONARY COORDINATE
摘要
In this paper, we apply the Lie symmetry analysis method for a time fractional perturbed standard KdV equation in the stationary coordinate (FPSKdV). The constructed symmetry generators are used to reduce the studied time fractional equation to a nonlinear fractional ordinary differential equation. With Erdélyi-Kober fractional operator, the reduced equation is solved with an explicit power series method. The constructing of its conservation laws is in order.