Abstract
A class of integrable evolution systems in the spacetimeR 2n+1 (n ⩾ 2) based on the generalized self-dual Yang-Mills equations are constructed. It is proved that the Darboux matrix method is applicable to these systems and a lot of explicit solutions are obtained. Starting with the trivial solutions, single soliton solutions and multi-soliton solutions are constructed. They are almost localized and the interaction between solitons is almost elastic.
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Supported by Chinese national basic research project ‘Nonlinear Science’ and Japanese Inoue Scientific Foundation.
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Chaohao, G. Integrable evolution systems based on generalized self-dual Yang-Mills equations and their soliton-like solutions. Lett Math Phys 35, 61–74 (1995). https://doi.org/10.1007/BF00739155
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DOI: https://doi.org/10.1007/BF00739155