利用待定系数法构造分数阶MKdV方程级数解

Construction of series solutions to the fractional MKdV equations using undetermined coefficients method

考虑了一维分数阶MKdV方程的初值问题:{D_t~αv(x,t)+6v^2v_(xt)+v_(xxx)=0,0<α≤1;v(x,0)=a)0(x).其中v=v(x,t),x∈R,t>0,a_0(x)∈C~∞.利用待定系数法构造了分数阶MKdV方程的级数近似解.

Consider the fractional MKdV equation with initial value problem {Dt^αv（x,t）＋6v^2vxt＋vxxx=0,0〈α≤1; v（x,0）=a）0（x）. where v=v（x,t）,x∈R,t〉0,a0（x）∈C^∞. Using the undetermined coefficients method,the fractional power series solutions to the fractional MKdV equations are constructed.