期刊
WAVES IN RANDOM AND COMPLEX MEDIA
卷 27, 期 1, 页码 163-170出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/17455030.2016.1213462
关键词
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In this paper, a new approach, namely an ansatz method is applied to find exact solutions for nonlinear fractional differential equations in the sense of modified Riemann-Liouville derivative. Based on a nonlinear fractional complex transformation, a certain fractional partial differential equation can be turned into another ordinary differential equation of integer order. For illustrating the validity of this method, we apply it to solve the fractional-order biological population model and the space-time fractional modified equal width equation, and as a result, some dark soliton solutions for them are established.
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