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Multiple-pole solutions to a semidiscrete modified Korteweg-de Vries equation - MaRDI portal

Multiple-pole solutions to a semidiscrete modified Korteweg-de Vries equation (Q2425080)

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Multiple-pole solutions to a semidiscrete modified Korteweg-de Vries equation
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    Multiple-pole solutions to a semidiscrete modified Korteweg-de Vries equation (English)
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    26 June 2019
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    Summary: Multiple-pole soliton solutions to a semidiscrete modified Korteweg-de Vries equation are derived by virtue of the Riemann-Hilbert problem with higher-order zeros. A different symmetry condition is introduced to build the nonregular Riemann-Hilbert problem. The simplest multiple-pole soliton solution is presented. The dynamics of the solitons are studied.
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    Korteweg-de Vries equation
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    Riemann-Hilbert problem
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    multiple-pole soliton
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