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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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摘要 Is this Paper, the global existence of smooth solutions to the Antial value problem for the fourth order nonlinear Schrodinger equation in the Lax hierarchy of the nonlinear fSchrodinger equation(NLS equation) is established by using the so-called continuation method and delicate a priori estimate. In addition, the asylnptotic properties of the solutions as|×|+∞ are discussed. Is this Paper, the global existence of smooth solutions to the Antial value problem for the fourth order nonlinear Schrodinger equation in the Lax hierarchy of the nonlinear fSchrodinger equation(NLS equation) is established by using the so-called continuation method and delicate a priori estimate. In addition, the asylnptotic properties of the solutions as|×|+∞ are discussed.
作者 冯学尚
出处 《Acta Mathematica Scientia》 SCIE CSCD 1995年第2期196-206,共11页 数学物理学报(B辑英文版)
关键词 Forth order nonlinear schrodinger equation Initial value problem Global existence Asymptotic behavior. Forth order nonlinear schrodinger equation, Initial value problem, Global existence, Asymptotic behavior.
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