Exact Solutions of the Cylindrical Toda Molecule Equation

  • Hirota Ryogo
    Department of Applied Mathematics, Faculty of Engineering, Hiroshima University
  • Nakamura Akira
    Physics Laboratory, Osaka University of Foreign Studies

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  • Exact Solutions of the Cylindrical Toda

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We consider the cylindrical Toda molecule equation, (∂2⁄∂r2+r−1∂⁄∂r) (logVn)−Vn+1+2VnVn−1=0, with the boundary condition V0=VN+1=0. We have constructed exact solutions to the equation by applying the bilinear method.

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