THE GLOBAL SOLUTIONS FOR A FOURTH ORDER NONLINEAR SCHRaINGER EQUATION

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (2): 196-206.

THE GLOBAL SOLUTIONS FOR A FOURTH ORDER NONLINEAR SCHRaINGER EQUATION

冯学尚

Numerical Laboratory for Heliospheric physics, P. O. BOX 8701, Beijing 10008 G. China

收稿日期:1993-02-26 修回日期:1994-05-28 出版日期:1995-06-25 发布日期:1995-06-25
基金资助:
Supported by the NSF of China.

THE GLOBAL SOLUTIONS FOR A FOURTH ORDER NONLINEAR SCHRaINGER EQUATION

Feng Xueshang

Numerical Laboratory for Heliospheric physics, P. O. BOX 8701, Beijing 10008 G. China

Received:1993-02-26 Revised:1994-05-28 Online:1995-06-25 Published:1995-06-25
Supported by:
Supported by the NSF of China.

摘要/Abstract

摘要： Is this Paper, the global existence of smooth solutions to the initial value problem for the fourth order nonlinear Schrödinger equation in the Lax hierarchy of the nonlinear Schrödinger equation(NLS equation) is established by using the so-called continuation method and delicate a priori estimate. In addition, the asymptotic properties of the solutions as |x|→+∞ are discussed.

关键词: Forth order nonlinear schrodinger equation, Initial value problem, Global existence, Asymptotic behavior

Abstract: Is this Paper, the global existence of smooth solutions to the initial value problem for the fourth order nonlinear Schrödinger equation in the Lax hierarchy of the nonlinear Schrödinger equation(NLS equation) is established by using the so-called continuation method and delicate a priori estimate. In addition, the asymptotic properties of the solutions as |x|→+∞ are discussed.

Key words: Forth order nonlinear schrodinger equation, Initial value problem, Global existence, Asymptotic behavior

冯学尚. THE GLOBAL SOLUTIONS FOR A FOURTH ORDER NONLINEAR SCHRaINGER EQUATION[J]. 数学物理学报(英文版), 1995, 15(2): 196-206.

Feng Xueshang. THE GLOBAL SOLUTIONS FOR A FOURTH ORDER NONLINEAR SCHRaINGER EQUATION[J]. Acta mathematica scientia,Series B, 1995, 15(2): 196-206.

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THE GLOBAL SOLUTIONS FOR A FOURTH ORDER NONLINEAR SCHRaINGER EQUATION

THE GLOBAL SOLUTIONS FOR A FOURTH ORDER NONLINEAR SCHRaINGER EQUATION

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