Fredholm and Wronskian representations of solutions to the KPI equation and multi-rogue waves
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Publication:3178332
DOI10.1063/1.4953383zbMath1344.35123OpenAlexW2413938728MaRDI QIDQ3178332
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Publication date: 11 July 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4953383
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)
Related Items (12)
Multiparametric families of solutions of the Kadomtsev-Petviashvili-I equation, the structure of their rational representations, and multi-rogue waves ⋮ Mixed lump-kink solutions to the KP equation ⋮ Rogue waves of the nonlocal Davey–Stewartson I equation ⋮ Interactions of solitons for a generalized nonlinear Schrödinger equation from the inhomogeneous Heisenberg ferromagnetic spin system ⋮ Periodic-background solutions of Kadomtsev-Petviashvili I equation ⋮ Mixed lump-kink solutions to the BKP equation ⋮ Degenerate Riemann theta functions, Fredholm and Wronskian representations of the solutions to the KdV equation and the degenerate rational case ⋮ Abundant lump-type solutions of the Jimbo-Miwa equation in \((3+1)\)-dimensions ⋮ Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation ⋮ Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method ⋮ Interaction solutions between lump and stripe soliton to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation ⋮ Families of solutions to the KPI equation given by an extended Darboux transformation
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