Matrix Sato Theory and Integrable Equations in 2 + 1

  title={Matrix Sato Theory and Integrable Equations in 2 + 1},
  author={DimensionsB and . G. KONOPELCHENKO and W... and OEVELDept},
  • DimensionsB, . G. KONOPELCHENKO, +1 author OEVELDept
  • Published 1991
Two diierent decompositions of the algebra of matrix valued pseudo-diierential symbols are considered. The two associated classes of nonlinear integrable equations in 2+1 dimensions are discussed within the framework of generalized Lax equations and Sato's approach. The two classes represent the multi-component KP hierarchy and a \modiied" multi-component KP hierarchy. It is shown that general Darboux theorems provide Miura transformations between these two classes as well as auto-BB acklund… CONTINUE READING

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Publications referenced by this paper.
Showing 1-10 of 11 references

An rMatrix Approach to Nonstandard Classesof Integrable Equations , preprint Mathematical Sciences Report No

  • W. Oevel B. G. Konopelchenko
  • 1991


  • K. Kajiwara, J. Matsukidaira, J. Satsuma
  • Lett. 146A
  • 1990

Reviews in Math

  • B. G. Konopelchenko
  • Phys. 2
  • 1990


  • Y. Ohta, J. Satsuma, D. Takahashi, T. Tokihiro
  • Theor. Phys. Suppl. 94
  • 1988


  • M. Jimbo, T. Miwa
  • RIMS, Kyoto Univ. 19
  • 1983


  • H. Flaschka, A. C. Newell
  • Ratiu, Physica 9D
  • 1983

in Nonlinear Integrable Systems - Classical Theory and Quantum Theory

  • E. Date, M. Jimbo, K. Kashiwara, T. Miwa
  • eds. M. Jimbo, T. Miwa,
  • 1983

in Nonlinear Partial Di erential Equations in Applied Sci- ence

  • M. Sato, Y. Sato
  • Lecture Notes in Numerical and Applied Analysis 5…
  • 1982
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