Solutions of Two- and Three-Dimensional Toda Lattice Equations in Terms of Various Forms of Bessel Functions

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  • Saitoh Noriko
    Department of Applied Mathematics, Faculty of Engineering, Yokohama National University
  • Takeno Shozo
    Department of Physics, Kyoto Technical University
  • Takizawa Éi Iti
    Department of Applied Mathematics, Faculty of Engineering, Yokohama National University

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  • Solutions of Two and Three Dimensional

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New solutions of two- and three-(space)-dimensional generalized Toda lattice equations are given. The solutions are written by various forms of Bessel functions, and their properties are discussed in relation to cylindrical and spherical nonlinear modes in the systems. A discussion is also given to another type of nonlinear difference-differential equations, having the form of a generalized version of higher dimensional Toda lattice equation and exhibiting spherical nonlinear modes.

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