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Series New Exact Solutions to Nonlinear Nizhnik-Novikov-Veselov System Analytical Solution, Fixed Point Theory of Partially Ordered Space
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Applied Mathematics·Volume 01 (2010)·Pages 406–410·Published 30 November 2010·DOI10.4236/am.2010.15053
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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.
KeywordsNonlinear Nizhnik-Novikov-Veselov SystemSolving ExpressionAuxiliary Equation
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