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Combined Wronskian solutions to the 2D Toda molecule equation
Authors:Wen-Xiu Ma
Institution:Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
Abstract:By combining two pieces of bi-directional Wronskian solutions, molecule solutions in Wronskian form are presented for the finite, semi-infinite and infinite bilinear 2D Toda molecule equations. In the cases of finite and semi-infinite lattices, separated-variable boundary conditions are imposed. The Jacobi identities for determinants are the key tool employed in the solution formulations.
Keywords:Toda lattice  Wronskian solution  Soliton equation
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