THE COMPACT ALGEBRA STRUCTURE OF SOLITON EQUATIONS, THEIR SPINOR AKNS SYSTEM AND REALIZATION ON SPHERE

数学物理学报(英文版) ›› 1983, Vol. 3 ›› Issue (3): 241-248.

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THE COMPACT ALGEBRA STRUCTURE OF SOLITON EQUATIONS, THEIR SPINOR AKNS SYSTEM AND REALIZATION ON SPHERE

郭汉英¹, 吴可¹, 侯伯宇², 向延育³, 王世坤⁴

1. Institute of Theoretical Physics, Academia Sinica, P. O. Box 2735, Beijing, China;
2. Department of Physics, Northwest University, Xian, China;
3. Peking Observatory, Academia Sinica, Beijing, China;
4. Institute of Applied Mathematics, Academia Sinica, Beijing China

收稿日期:1980-08-11 出版日期:1983-09-25 发布日期:1983-09-25

THE COMPACT ALGEBRA STRUCTURE OF SOLITON EQUATIONS, THEIR SPINOR AKNS SYSTEM AND REALIZATION ON SPHERE

Guo Hanying¹, Wu Ke¹, Hou Boyu², Haiang Yanyu³, Wang Shikun⁴

1. Institute of Theoretical Physics, Academia Sinica, P. O. Box 2735, Beijing, China;
2. Department of Physics, Northwest University, Xian, China;
3. Peking Observatory, Academia Sinica, Beijing, China;
4. Institute of Applied Mathematics, Academia Sinica, Beijing China

Received:1980-08-11 Online:1983-09-25 Published:1983-09-25

摘要/Abstract

摘要： It is shown that a great sort of soliton equations, such as sine-Grodon equation and others whose inverse scattering problem is described by the AKNS system, has both noncompact and compact algebra structures on the same footing. The spinor AKNS system and realization on sphere with respect to the compact structure of the soliton equations are given.

郭汉英, 吴可, 侯伯宇, 向延育, 王世坤. THE COMPACT ALGEBRA STRUCTURE OF SOLITON EQUATIONS, THEIR SPINOR AKNS SYSTEM AND REALIZATION ON SPHERE[J]. 数学物理学报(英文版), 1983, 3(3): 241-248.

Guo Hanying, Wu Ke, Hou Boyu, Haiang Yanyu, Wang Shikun. THE COMPACT ALGEBRA STRUCTURE OF SOLITON EQUATIONS, THEIR SPINOR AKNS SYSTEM AND REALIZATION ON SPHERE[J]. Acta mathematica scientia,Series B, 1983, 3(3): 241-248.

THE COMPACT ALGEBRA STRUCTURE OF SOLITON EQUATIONS, THEIR SPINOR AKNS SYSTEM AND REALIZATION ON SPHERE

THE COMPACT ALGEBRA STRUCTURE OF SOLITON EQUATIONS, THEIR SPINOR AKNS SYSTEM AND REALIZATION ON SPHERE

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