Abstract
A class of integrable systems of nonlinear partial differential equations in the spacetime R n+1 is introduced. Single and multi-soliton solutions are constructed by using the Darboux matrix method. It is proved that as t→±∞, a k multi-soluton solution splits asymptotically into k single solitons. Moreover, the interaction between solitons is elastic if we consider their magnitudes only.
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The work is C. H. Gu supported by the Chinese National Program for fundamental research ‘nonlinear science’.
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Chaohao, G. On the interaction of solitons for a class of integrable systems in the spacetime R n+1 . Lett Math Phys 26, 199–209 (1992). https://doi.org/10.1007/BF00420753
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DOI: https://doi.org/10.1007/BF00420753