Open AccessAnalytical solution for a class of coupled linear second-order differential equations limited by transformations
Author(s) -
Yang Peng-Fei
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.5579
Subject(s) - jacobi elliptic functions , elliptic function , differential equation , order (exchange) , nonlinear system , elliptic partial differential equation , superconductivity , mathematical analysis , class (philosophy) , elliptic integral , function (biology) , linear differential equation , physics , mathematics , quantum mechanics , computer science , finance , artificial intelligence , evolutionary biology , economics , biology
By using the function and equation transformations,a coupled linear second-order differential equations are reduced to a nonlinear first-order Elliptic equation. And the analytical solutions to coupled transformations that include first-order and second-order transformations are given.The special approximate solution to a superconductivity question derived from a reference is reformed by using the new result given in this paper, and the existence of electric field in the surface of superconductor is validated.