Series New Exact Solutions to Nonlinear Nizhnik-Novikov-Veselov System Analytical Solution, Fixed Point Theory of Partially Ordered Space
- Resource Type
- Authors
- Weihui Zhong; Jiping Hao; Xinli Yan
- Source
- Applied Mathematics. :406-410
- Subject
- Range (mathematics)
Nonlinear system
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Series (mathematics)
Mathematical analysis
Characteristic equation
Fixed-point theorem
Novikov self-consistency principle
General Medicine
Uniqueness
Mathematics
Jacobi elliptic functions
- Language
- ISSN
- 2152-7393
2152-7385
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.