Note on exact solutions for a class of nonlinear diffusion equations
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摘要
An effective characterization is given for a class of generalized nonlinear diffusion equations with power law dependent terms. Further, a new auxiliary equation ansatz is derived. Consequently, new exact traveling wave trigonometric function, solitary-like and Weierstrass elliptic solutions to a subclass are obtained by means of an auxiliary equation method and a generalized Riccati equation expansion method.
论文关键词:Nonlinear diffusion equation,Power law,Auxiliary equation method,Generalized Riccati equation expansion method
论文评审过程:Available online 13 January 2009.
论文官网地址:https://doi.org/10.1016/j.amc.2009.01.012