Volume 9, Issue 4, November 2001, Pages 517 - 529
Tau Functions Associated to Pseudodifferential Operators of Several Variables
- Min Ho LEE
- Corresponding Author
- Min Ho LEE
Available online November 2001.
- https://doi.org/10.2991/jnmp.2002.9.4.10How to use a DOI?
- Pseudodifferential operators of several variables are formal Laurent series in the formal inverses of 1, . . . , n with i = d/dxi for 1 i n. As in the single variable case, Lax equations can be constructed using such pseudodifferential operators, whose solutions can be provided by Baker functions. We extend the usual notion of tau functions to the case of pseudodifferential operators of several variables so that each Baker function can be expressed in terms of the corresponding tau function.
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Cite this article
TY - JOUR AU - Min Ho Lee PY - 2001/11 DA - 2001/11 TI - Tau Functions Associated to Pseudodifferential Operators of Several Variables JO - Journal of Nonlinear Mathematical Physics SP - 517 EP - 529 VL - 9 IS - 4 SN - 1402-9251 UR - https://doi.org/10.2991/jnmp.2002.9.4.10 DO - https://doi.org/10.2991/jnmp.2002.9.4.10 ID - LEE2001/11 ER -