首页|Q-homotopy analysis method for time-fractional Newell-Whitehead equation and time-fractional generalized Hirota-Satsuma coupled KdV system

Q-homotopy analysis method for time-fractional Newell-Whitehead equation and time-fractional generalized Hirota-Satsuma coupled KdV system

扫码查看
In this paper,two types of fractional nonlinear equations in Caputo sense,time-fractional Newell-Whitehead equation(FNWE)and time-fractional generalized Hirota-Satsuma coupled KdV system(HS-cKdVS),are investigated by means of the q-homotopy analysis method(q-HAM).The approximate solutions of the proposed equations are constructed in the form of a convergent series and are compared with the corresponding exact solutions.Due to the presence of the auxiliary parameter h in this method,just a few terms of the series solution are required in order to obtain better approximation.For the sake of visualization,the numerical results obtained in this paper are graphically displayed with the help of Maple.

fractional Newell-Whitehead equationfractional generalized Hirota-Satsuma coupled KdV systemapproximate solutionq-homotopy analysis method

Di Liu、Qiongya Gu、Lizhen Wang

展开 >

Center for Nonlinear Studies,School of Mathematics,Northwest University,Xi'an,710127,China

国家自然科学基金

12271433

2024

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子:0.333
ISSN:0253-6102
年,卷(期):2024.76(3)
  • 42