摘要
利用方程代换思想,对广义Riccati方程作变系数多项式展开,获得了(2+1)维变系数KdV方程的多种新精确解.相应地,亦得到近轴KdV方程的新精确解.
Along the idea of sub-equation, by perfonning variable coefficient polynomial expansion of the generalized Riccati equation, many families of new exact solutions of the （2 ＋ 1 ）-dimensional KdV equation with variable coefficients are obtained. Consequently, the solutions of the nearly concentric KdV equation are also derived.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2008年第6期697-701,共5页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(No.43007201)
江西省自然科学基金(2008GQS0035)资助项目
关键词
RICCATI方程
变系数KDV方程
精确解
generalized Riccati equation
KdV equation with variable coefficients
exact solutions
