燕尾积分(Swallowtail Integral)是一种三阶多鞍点积分,其定义如下[1]:p388
Swallowtail Integral Maple 3D plot
Swallowtail Integral Maple contour plot
SwaIntegral Maple density plotllowtail
分岔
Swallowtail integral Bifurcation catastrophe
燕尾积分的分岔满足下列方程式[2]:p781
斯托克斯曲线
Swallowtail integral Stokes set 1
Swallowtail integral Stokes set 2
Swallowtail integral catastrophe for z=0
燕尾积分的斯托克斯曲线(Stokes curve)满足下列方程式[2]:p783
其中
是下列五阶代数方程的最小的两个解:
,即
相关
参考文献
Roderick Wong, Asymptotic Approximation of Integrals,2001,SIAM.
Frank Oliver, NIST Handbook of Mathematical Functions, 2010,Cambridge University Press