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Jacobi函数展开法与非线性Schrdinger方程的椭圆函数解
Jacobi함수전개법여비선성Schrdinger방정적타원함수해
GENERAL JACOBI FUNCTION EXQANSION METHOD AND PERIODIC ELLIPTIC FUNCTION SOLUTIONS OF THE NONLINEAR SCHRODINGER EQUATION

万方数据

巢湖学院学报巢湖學院學報 소호학원학보
CHAOHU TEACHERS COLLEGE JOURNAL
2012年 3期 54-58 ,共5页

史良马史良馬

사량마

Jacobi函数%Schrdinger方程%周期解 Jacobi函數%Schrdinger方程%週期解
Jacobi함수%Schrdinger방정%주기해
Jacobi elliptic function%Schroedinger equation%periodic solution

利用三种基本椭圆函数来构成一般的椭圆函数,进一步推广了椭圆函数展开法并它应用于非线性Schrdinger方程的求解。由此得到了一系列的包络周期解。当模数m→0或m→1时,这些解退化为孤立波解和三角函数解。
이용삼충기본타원함수래구성일반적타원함수,진일보추엄료타원함수전개법병타응용우비선성Schrdinger방정적구해。유차득도료일계렬적포락주기해。당모수m→0혹m→1시,저사해퇴화위고립파해화삼각함수해。
On the basis of new function made up of three basic Jacobi,general Jacobi elliptic function expansion method is further extended and applied to solve the nonlinear Schroedinger equation.A serial of envelope periodic solutions are obtained by this method.When modulus or these periodic solutions degenerate to the corresponding solitary wave solutions and trigonometric function solutions.