Hierarchy of (2 + 1)-Dimensional Nonlinear Schrödinger Equation, Self-Dual Yang-Mills Equation, and Toroidal Lie Algebras
نویسندگان
چکیده
منابع مشابه
0 Ju l 2 00 1 Hierarchy of ( 2 + 1 ) - dimensional nonlinear Schrödinger equation , self - dual Yang - Mills equation , and toroidal Lie algebras
The hierarchy structure associated with a (2+1)-dimensional Nonlinear Schrödinger equation is discussed as an extension of the theory of the KP hierarchy. Several methods to construct special solutions are given. The relation between the hierarchy and a representation of toroidal Lie algebras are established by using the language of free fermions. A relation to the self-dual Yang-Mills equation...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2002
ISSN: 1424-0637
DOI: 10.1007/s00023-002-8638-1