A Multipotential Generalization of the Nonlinear Diffusion Equation.

  • Geng Xianguo
    Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450052, P. R. China
  • Ma Wen–Xiu
    Department of Mathematics, City University of Hong Kong, Tat Chee Avenue 83, Kowloon, Hong Kong, P. R. China

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An isospectral problem with multipotentials and the corresponding hierarchy of nonlinear evolution equations are proposed, in which a typical system is the coupled nonlinear diffusion equations.

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