New coupled Liouville system: Prolongation structure,soliton solution,and complete integrability |
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| Authors: | A Roy Chowdhury Pritha Mitra |
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| Institution: | (1) High Energy Physics Division, Department of Physics, Jadavpur University, 700 032 Calcutta, India |
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| Abstract: | We suggest a new coupled Liouville equation which is exactly solvable. We obtain the Lax pair through a prolongation analysis and also obtain the exact one-soliton-like solution by a direct procedure. We confirm our result through a Painlevé analysis of the similarity reduced systems. |
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