摘要
利用推广后的反演散射法获得变系数Sine-Gordon方程新的B(a|¨)cklund变换.同时,结合齐次平衡法原理并利用G'/G方法,讨论了变系数Sine-Gordon方程的精确解,从而得到了变系数Sine-Gordon方程的用双曲函数和三角函数表示的精确解.
By the use of the extended inverse scattering transformation method, we obtain the new BAcklund transformation of the Sine-Gordon equation with variable coefficient. Combining the homogeneous balance method and G＇/G method, we give the new exact solutions for the Sine-Gordon equation with variable coefficient, which contain the general hyperbolic function solutions and the general trigonometric function exact solutions.
出处
《系统科学与数学》
CSCD
北大核心
2014年第6期763-768,共6页
Journal of Systems Science and Mathematical Sciences
基金
江西中医药大学校级教改课题(2013jzjs-8)
国家自然科学基金(81160531)资助课题
