Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (4): 461-466.
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(Department of Physics, Wuhan University, Wuhan 430072)
(Department of Physics, Jinan University, Jinan 510632)
Online:
Published:
Abstract:
The unstable nonlinear Schrodinger(NLS) equaiton is solved by the inverse scattering transform. A transformation is made directly to the integral nuclei of the ZakharovShabat equation, and the Marchenko equation is thus derived. It is found that the Marchenko equation is as simple as that of a usual NLS equation , and the Zakharov-Shabat equation can be found from the Machenko equation by the inverse transformation.
Key words: ＮＬＳｅｑｕａｔｉｏｎ, ＩｎｖｅｉｓｅＳｃａｔｔｅｒｉｎｇｔｒａｎｓｆｏｒｍ, Ｍａｒｃｈｅｎｋｏｅｑｕａｔｉｏｎ．
CLC Number:
Chen Zhide Chen Xiangjun. machenko equation of the unstable nonlinear schrodinger equation[J].Acta mathematica scientia,Series A, 1999, 19(4): 461-466.
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http://121.43.60.238/sxwlxbA/EN/Y1999/V19/I4/461
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