New solutions to the differential-difference KP equation

DOI10.1016/j.aml.2020.106836zbMath1458.35021OpenAlexW3094550233WikidataQ115360748 ScholiaQ115360748MaRDI QIDQ2225270

Zhijun Qiao, Junyi Zhu, Xue-Ru Wang

Publication date: 8 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106836

zbMATH Keywords

Kadomtsev-Petviashvilinonlocal \(\overline{\partial}\)-problem\(\overline{\partial}\)-dressing methodD\(\varDelta\)KP equationimpulse initial condition

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants, etc. in context of PDEs (35B06) Integro-partial differential equations (35R09)

Related Items (6)

A \(2+1\) dimensional Volterra type system with nonzero boundary conditions via Dbar dressing method ⋮ Constrained discrete KP hierarchy: the constraint on the tau functions and gauge transformations ⋮ Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach ⋮ Integrability of the vector nonlinear Schrödinger-Maxwell-Bloch equation and the Cauchy matrix approach ⋮ The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations ⋮ On the \(\bar\partial \)-problem and dressing method for the complex vector modified KdV equation

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