Exact solutions of the nonlocal Gerdjikov-Ivanov equation (Q6046354)

scientific article; zbMATH DE number 7684107

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English	Exact solutions of the nonlocal Gerdjikov-Ivanov equation	scientific article; zbMATH DE number 7684107

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instance of

scholarly article

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title

Exact solutions of the nonlocal Gerdjikov-Ivanov equation (English)

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Communications in Theoretical Physics

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publication date

10 May 2023

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zbMATH Keywords

nonlocal Gerdjikov-Ivanov equation

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Darboux transformation

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rogue wave

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mixed soliton solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/1572-9494/ac1065

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cites work

Nonlinear-Evolution Equations of Physical Significance

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Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition

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Q3672402

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Conservation laws and \(\tau\)-symmetry algebra of the Gerdjikov-Ivanov soliton hierarchy

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Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma

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Solutions and connections of nonlocal derivative nonlinear Schrödinger equations

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Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model

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Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions

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Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation

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Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation

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Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation

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The rogue wave and breather solution of the Gerdjikov-Ivanov equation

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Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations

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Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation

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Riemann-Hilbert method and <i>N</i>-soliton for two-component Gerdjikov-Ivanov equation

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Pure soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation

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Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation

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\(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves

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Vector rational and semi-rational rogue wave solutions in the coupled complex modified Korteweg-de Vries equations

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Solitons, breathers and rogue waves for the coupled Fokas-Lenells system via Darboux transformation

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General soliton solutions to a coupled Fokas-Lenells equation

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Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation

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Explicit solutions to a nonlocal 2-component complex modified Korteweg-de Vries equation

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Exact solutions of nonlocal Fokas-Lenells equation

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Darboux transformation of the variable coefficient nonlocal equation

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Identifiers

zbMATH Open document ID

1514.35080

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DOI

10.1088/1572-9494/ac1065

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6046354