Publications of the Research Institute for Mathematical Sciences

A gauge theory for the Kadomtsev-Petviashvili system

Shôji Kanemaki, Wiesław Królikowski, and Osamu Suzuki

Source: Publ. Res. Inst. Math. Sci. Volume 22, Number 6 (1986), 1119-1128.

Primary Subjects: 58G35
Secondary Subjects: 58F07, 58F35, 81E99, 82A99

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.prims/1195177065
Mathematical Reviews number (MathSciNet): MR880000
Zentralblatt MATH identifier: 0624.58013
Digital Object Identifier: doi:10.2977/prims/1195177065

References

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[2] Kalina, J., Lawrynowicz, J. and Suzuki, O., A differential geometric quantum field theory on a manifold II. The second quantization and deformations of geometric fields and Clifford groups, preprint, 1984.
[3] Krolikowski, W., On correspondence between equations of motion for Dirac particle in curved and twisted space-times, preprint 1982, improved version 1985.
Mathematical Reviews (MathSciNet): MR976547
Zentralblatt MATH: 0675.53055
[4] Mulase, M., Complete integrability of the Kadomtsev-Petviashvili equation, Advances in Math., 54 (1984), 57-66.
Mathematical Reviews (MathSciNet): MR761762
Zentralblatt MATH: 0587.35083
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[6] Suzuki, O., Lawrynowicz J. and Kalina, J., A geometric approach to the Kadomtsev-Petviashvili system (I), preprint 1985.
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Mathematical Reviews (MathSciNet): MR763761
Zentralblatt MATH: 0552.58036
[g] Takasaki, K., A new pproach to the self-dual Yang-Mills equations (II), Saitama Math. J., 3 (1985), 11-40.
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[9] Uchiyama, R., Invariant theoretical interpretation of interaction, Phys. Rev., 101 (1956), 1597-1607.
Mathematical Reviews (MathSciNet): MR78223
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[10] Ueno, K. and Nakamura, Y., Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem, Phys. Lett., 109B (1982), 273-278.
Mathematical Reviews (MathSciNet): MR647108
Zentralblatt MATH: 0524.58018
[11] Watanabe, Y., Hamiltonian structure of Sato's hierarchy of KP equations and a coadjoint orbit of a certain formal Lie group, Lett. Math. Phys., 1 (1983), 99-106.
Mathematical Reviews (MathSciNet): MR708430
Zentralblatt MATH: 0584.58021

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Publications of the Research Institute for Mathematical Sciences

Publications of the Research Institute for Mathematical Sciences