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Multiple-Pole Solutions to a Semidiscrete Modified Korteweg-de Vries Equation

Junyi Zhu (), Zhixing Xiao () and Kang Li ()

Advances in Mathematical Physics, 2019, vol. 2019, 1-8

Abstract: 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.

Date: 2019
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DOI: 10.1155/2019/5468142

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