Journal of Chuxiong Normal University ›› 2020, Vol. 35 ›› Issue (6): 17-22.

• Mathematics • Previous Articles     Next Articles

New Exact Solutions for the Time Fractional Gardner Equation

HUANG Chun   

  1. Dept. of Teachers Education, Sichuan Vocational and Technical College, Suining, Sichuan Province 629000
  • Received:2020-05-13 Online:2020-11-20 Published:2021-03-29

Abstract: By using the complex transform and modified Riemann-Liouville fractional derivative, the nonlinear fractional-order partial differential equation is converted to an ordinary integer-order differential equation. Then, the first integral method is used to construct new exact solutions for time fractional Gardner equation. The obtained exact solutions include hyperbolic function solutions, solitary wave solutions and rational function solutions, enriching the exact solution family of the equation. This method is efficient and powerful for solving other types of fractional differential equations.

Key words: time fractional Gardner equation, Riemann-Liouville derivative, first integral method, exact solution

CLC Number: