Pseudodifferential Operators of Several Variables and Baker Functions |
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Authors: | Lee Min Ho |
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Institution: | (1) Department of Mathematics, University of Northern Iowa, Cedar Falls, IA, 50614, U.S.A. |
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Abstract: | The KP hierarchy consists of an infinite system of nonlinear partial differential equations and is determined by Lax equations, which can be constructed using pseudodifferential operators. The KP hierarchy and the associated Lax equations can be generalized by using pseudodifferential operators of several variables. We construct Baker functions associated to those generalized Lax equations of several variables and prove some of the properties satisfied by such functions. |
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Keywords: | Baker functions KP hierarchy Lax equations pseudodifferential operators |
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