Combined Wronskian solutions to the 2D Toda molecule equation |
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Authors: | Wen-Xiu Ma |
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Affiliation: | Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA |
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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. |
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Keywords: | Toda lattice Wronskian solution Soliton equation |
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