广义双曲函数法求解(2+1)维变系数Nizhnik-Novikov-Veselov方程新的孤子解  

New soliton solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov equation with variable coefficients based on the generalized hyperbolic-function method

作　　者：秦立春[1] 

机构地区：[1]柳州铁道职业技术学院公共教学部,广西柳州545616

出　　处：《南昌大学学报（理科版）》2016年第2期107-110,共4页Journal of Nanchang University(Natural Science)

基　　金：广西职业教育教学改革项目(桂教职成(2015)22号);柳州铁道职业技术学院院级课题(2014-A14)

摘　　要：非线性现象在数学、物理学、生物学、大气动力学、生命科学等自然科学领域中频频被发现,这些非线性问题基本上都可以用非线性发展方程来描述。本文为获得非线性发展方程的孤子解,借助符号计算软件Mathematical,研究了广义双曲函数方法,并应用广义双曲函数法获得了(2+1)维变系数Nizhnik-Novikov-Veselov方程新的孤子解。Nonlinear phenomena arises frequently in the field of natural science such as mathematics, phys- ics,biology,atmospheric dynamics, life science, and it can be described by the nonlinear evolution equa- tions. To obtain the soliton solutions to the nonlinear evolution equations,the symbolic computation soft- ware Mathematica was utilized to investigate the generalized hyperbolic-function,which was further applied to explore some new soliton solutions for the （2 ＋ 1）-dimensional Nizhnik-Novikov-Veselov equation with variable coefficients.

关 键 词：广义双曲函数方法 NIZHNIK-NOVIKOV-VESELOV方程 孤子解 符号计算 

分 类 号：O411.1[理学—理论物理]