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利用待定系数法构造分数阶MKdV方程级数解
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作者 高忆先 徐飞 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2016年第4期45-47,共3页
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.
关键词 分数微积分 分数阶mkdv方程 待定系数法 级数近似解
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consistent Riccati expansion fractional partial differential equation Riccati equation modified Riemann–Liouville fractional derivative exact solution 被引量:7
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作者 黄晴 王丽真 左苏丽 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第2期177-184,共8页
In this paper, a consistent Riccati expansion method is developed to solve nonlinear fractional partial differential equations involving Jumarie's modified Riemann–Liouville derivative. The efficiency and power of t... In this paper, a consistent Riccati expansion method is developed to solve nonlinear fractional partial differential equations involving Jumarie's modified Riemann–Liouville derivative. The efficiency and power of this approach are demonstrated by applying it successfully to some important fractional differential equations, namely, the time fractional Burgers, fractional Sawada–Kotera, and fractional coupled mKdV equation. A variety of new exact solutions to these equations under study are constructed. 展开更多
关键词 Consistent Riccati Expansion Method and Its Applications to Nonlinear Fractional Partial Differential Equations
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