General soliton and (semi‐)rational solutions to the nonlocal Mel'nikov equation on the periodic background

DOI10.1111/sapm.12313zbMath1454.37066OpenAlexW3022398366MaRDI QIDQ5134362

Heming Fu, Ming Li, Cheng-Fa Wu

Publication date: 16 November 2020

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12313

zbMATH Keywords

solitonHirota's bilinear methodsemi-rational solutionKP hierarchy reduction methodnonlocal Mel'nikov equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

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