数学物理学报(英文版) ›› 1989, Vol. 9 ›› Issue (1): 45-56.

• 论文 • 上一篇    下一篇

EXISTENCE AND NONEXISTENCE FOR THE INITIAL BOUNDARY VALUE PROBLEM OF ONE CLASS OF SYSTEM OF MULTIDIMENSIONAL NONLINEAR SCHRÖDINGER EQUATIONS WITH OPERATOR AND THEIR SOLITON SOLUTIONS

郭柏灵   

  1. Inst. of Appl. Phys. & Comp. Math., PO Box 8009, Beijing, China
  • 收稿日期:1984-12-28 修回日期:1987-10-04 出版日期:1989-03-25 发布日期:1989-03-25

EXISTENCE AND NONEXISTENCE FOR THE INITIAL BOUNDARY VALUE PROBLEM OF ONE CLASS OF SYSTEM OF MULTIDIMENSIONAL NONLINEAR SCHRÖDINGER EQUATIONS WITH OPERATOR AND THEIR SOLITON SOLUTIONS

Guo Boling   

  1. Inst. of Appl. Phys. & Comp. Math., PO Box 8009, Beijing, China
  • Received:1984-12-28 Revised:1987-10-04 Online:1989-03-25 Published:1989-03-25

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摘要： The nonlinear interactions between the monochromatic wave have been considered by K. Matsunchi, who also proposed one class of the nonlinear Schrödinger equation system with wave operator. We also obtain the same type of equations, which are satisfied by transverse velocity of higher frequency electron, as we study soliton in plasma physics. In this paper, under some condition we study the existence and nonexistence for this equations in the cases possessing different signs in nonlinear term.

Abstract: The nonlinear interactions between the monochromatic wave have been considered by K. Matsunchi, who also proposed one class of the nonlinear Schrödinger equation system with wave operator. We also obtain the same type of equations, which are satisfied by transverse velocity of higher frequency electron, as we study soliton in plasma physics. In this paper, under some condition we study the existence and nonexistence for this equations in the cases possessing different signs in nonlinear term.

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