Series New Exact Solutions to Nonlinear Nizhnik-Novikov-Veselov System Analytical Solution, Fixed Point Theory of Partially Ordered Space
Jiping Hao, Weihui Zhong, Xinli Yan
DOI: 10.4236/am.2010.15053   PDF   HTML     3,939 Downloads   7,514 Views   Citations


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.

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J. Hao, W. Zhong and X. Yan, "Series New Exact Solutions to Nonlinear Nizhnik-Novikov-Veselov System Analytical Solution, Fixed Point Theory of Partially Ordered Space," Applied Mathematics, Vol. 1 No. 5, 2010, pp. 406-410. doi: 10.4236/am.2010.15053.

Conflicts of Interest

The authors declare no conflicts of interest.


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