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

Zhixing Xiao, Kang Li and Junyi Zhu

Advances in Mathematical Physics, 2019, vol. 2019, issue 1

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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https://doi.org/10.1155/2019/5468142

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:5468142

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