The focusing complex mKdV equation with nonzero background: large \(N\)-order asymptotics of multi-rational solitons and related Painlevé-III hierarchy

DOI10.1016/j.jde.2024.09.038MaRDI QIDQ6644207

Unnamed Author, Weifang Weng, Zhenya Yan

Publication date: 27 November 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemcomplex mKdV equationnonzero backgroundlarge-order asymptoticsmulti-rational solitonsPainlevé-III hierarchy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Riemann-Hilbert problems in context of PDEs (35Q15)

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