Lie symmetry analysis, particular solutions and conservation laws for the dissipative (2+1)-dimensional AKNS equation (Q6579790)

scientific article; zbMATH DE number 7887822

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English	Lie symmetry analysis, particular solutions and conservation laws for the dissipative (2+1)-dimensional AKNS equation	scientific article; zbMATH DE number 7887822

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instance of

scholarly article

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title

Lie symmetry analysis, particular solutions and conservation laws for the dissipative (2+1)-dimensional AKNS equation (English)

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author

Sixing Tao

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published in

Communications in Analysis and Mechanics

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publication date

26 July 2024

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zbMATH Keywords

Ablowitz-Kaup-Newell-Segur (AKNS) equation

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conservation laws

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multiplier technique

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Noether's theorem

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MaRDI profile type

Publication

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cites work

A Lie symmetry approach to nonlinear Schrödinger's equation with non-Kerr law nonlinearity

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Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions

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Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation

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A unified explicit form of Bäcklund transformations for generalized hierarchies of KdV equations

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Darboux transformations of integrable couplings and applications

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Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion

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The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

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Multi-soliton solutions for the three types of nonlocal Hirota equations via Riemann–Hilbert approach

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Novel hybrid solitary waves and shrunken-periodic solutions, solitary Moiré pattern and conserved vectors of the (4 + 1)-Fokas equation

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Double reduction of a nonlinear \((2+1)\) wave equation via conservation laws

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Symmetries and exact solutions via conservation laws for some partial differential equations of mathematical physics

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Invariant variation problems

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Comment on ‘Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives’

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Q4273954

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A new conservation theorem

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\(N\)-soliton solutions for shallow water waves equations in \((1+1)\) and \((2+1)\) dimensions

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Exact travelling wave solutions for the dissipative \((2+1)\)-dimensional AKNS equation

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The periodic wave solutions for a \((2+1)\)-dimensional \textit{AKNS} equation

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CRE solvability and soliton-cnoidal wave interaction solutions of the dissipative \((2+1)\)-dimensional AKNS equation

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Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies

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Dynamical analysis of diversity lump solutions to the (2+1)-dimensional dissipative Ablowitz–Kaup–Newell–Segure equation

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Identifiers

zbMATH Open document ID

1544.35018

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DOI

10.3934/cam.2023024

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6579790