Lie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equation (Q6190434)

scientific article; zbMATH DE number 7813402

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English	Lie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equation	scientific article; zbMATH DE number 7813402

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instance of

scholarly article

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title

Lie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equation (English)

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Chinese Journal of Physics (Taipei)

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publication date

5 March 2024

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zbMATH Keywords

constant astigmatism equation

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Lie point symmetry

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conservation law

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Lagrangians

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analytical solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cjph.2017.08.015

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cites work

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Classification of integrable Weingarten surfaces possessing an \mathfrak{sl} (2)-valued zero curvature representation

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The constant astigmatism equation. New exact solution

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Lagrangian and Hamiltonian structures for the constant astigmatism equation

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Applications of symmetry methods to partial differential equations

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On locally and nonlocally related potential systems

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Q4357207

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Nonlocal symmetries related to Bäcklund transformation and their applications

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Non-local symmetries via Darboux transformations

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Q3715336

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Q3945260

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On Lie symmetries, optimal systems and explicit solutions to the Kudryashov-Sinelshchikov equation

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Nonclassical analysis of the nonlinear Kompaneets equation

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On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water

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Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach

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Integrability and exact solutions of a two-component Korteweg-de Vries system

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Symmetry analysis and reductions of the two-dimensional generalized Benney system via geometric approach

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Spatiotemporal Hermite-Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation

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Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation

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Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method

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Quasi-periodic waves and solitary waves to a generalized KdV-Caudrey-Dodd-Gibbon equation from fluid dynamics

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Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity

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Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations

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On integrability and quasi-periodic wave solutions to a \((3+1)\)-dimensional generalized KdV-like model equation

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Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation

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On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation

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On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics

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Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation

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Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation

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Identifiers

DOI

10.1016/j.cjph.2017.08.015

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6190434