Exact Solutions of the 2+1 Dimensional Toda Equation under Periodic Boundary Condition

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概要

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• We consider the 2-l- 1 dimensional Toda lattice equation, Jlog (1 -l- V.)- V...-I-2V. - V. .=0, (J ;8'/8x'-I-8'/&y'=8'/&r'A-r '8/8rA-r '<)'/&?'), underthe periodic boundary condition V.= V... with N being arbitrary integer. We haveobtained exact solutions with finite period 7V. When the period N is infinity (.N= cX)),the present solution coincides with the previously known cylindrical soliton of Todaequation. When the period N is finite, the present solution represents the cylindrical-soliton-like wave but deformed from pure cylindrical symmetry.

• 社団法人日本物理学会の論文
• 1988-05-15

著者

• Nakamura Akira

  Physics Laboratory Osaka University Of Foreign Studies

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