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X. L. Yan, “Existence and Uniqueness Theorems of Solution for Symmetric Contracted Operator Equations and Their Applications,” Chinese Science Bulletin, Vol, 36, No. 10, 1991, pp. 800-805.

has been cited by the following article:

• TITLE: Series New Exact Solutions to Nonlinear Nizhnik-Novikov-Veselov System Analytical Solution, Fixed Point Theory of Partially Ordered Space

  AUTHORS: Jiping Hao, Weihui Zhong, Xinli Yan

  KEYWORDS: Nonlinear Nizhnik-Novikov-Veselov System, Solving Expression, Auxiliary Equation,

  JOURNAL NAME: Applied Mathematics, Vol.1 No.5, December 1, 2010

  ABSTRACT: One new solving expression is built for Nizhnik-Novikov-Veselov system in the paper. Through corresponding auxiliary equation arrangement, more than 150 analytical solutions of elementary and Jacobi elliptic functions are obtained so that the NNV system has a wider range of physical meaning. At the same time, the existence and uniqueness of this systematic solution are discussed by fixed point theory of partially ordered space. The expression of the unique solution could be gained if making use of the technique of computer.