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

• 作者: Jiping Hao Weihui Zhong Xinli Yan
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: NONLINEAR Nizhnik-Novikov-Veselov SYSTEM Solving Expression Auxiliary Equation
• 年，卷（期）: yysxyw_2010,（5）
• 页码范围: 406-410
• 页数: 5页
• 分类号: O1

摘要

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.