Soliton solutions and conservation laws for a generalized Ablowitz-Ladik system (Q6201260)

scientific article; zbMATH DE number 7823590

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English	Soliton solutions and conservation laws for a generalized Ablowitz-Ladik system	scientific article; zbMATH DE number 7823590

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instance of

scholarly article

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title

Soliton solutions and conservation laws for a generalized Ablowitz-Ladik system (English)

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Chinese Journal of Physics (Taipei)

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publication date

25 March 2024

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zbMATH Keywords

generalized Ablowitz-Ladik system

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Darboux transformation

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solutions

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conservation laws

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dynamic behaviors

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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.2019.05.017

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cites work

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Integrable semi-discretization of the coupled modified KdV equations

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Four-Wave Semidiscrete Nonlinear Integrable System with <i>𝒫𝒯</i>-Symmetry

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Integrable nonlinear Schrödinger system on a lattice with three structural elements in the unit cell

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Mathematical view with observational/experimental consideration on certain \((2+1)\)-dimensional waves in the cosmic/laboratory dusty plasmas

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Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics

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Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations

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Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber

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Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation

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Classical breathers and quantum coherent states in discrete NLS systems

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Notes on gap solitons for periodic discrete nonlinear Schrödinger equations

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Peregrine solitons and gradient catastrophes in discrete nonlinear Schrödinger systems

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Modulational instability and peak solitary wave in a discrete nonlinear electrical transmission line described by the modified extended nonlinear Schrödinger equation

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Variable sinh-Gaussian solitons in nonlocal nonlinear Schrödinger equation

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Six-component semi-discrete integrable nonlinear Schrödinger system

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\(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation

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Multiple solutions for the nonhomogeneous discrete nonlinear Schrödinger equation

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Discrete Schrödinger equations with sign-changing nonlinearities: infinitely many homoclinic solutions

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

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The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation

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Darboux transformation of the second-type derivative nonlinear Schrödinger equation

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Interaction theory of mirror-symmetry soliton pairs in nonlocal nonlinear Schrödinger equation

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Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation

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Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation

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Darboux transformation of a coupled lattice soliton equation

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Q4002235

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Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws

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An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws

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Identifiers

DOI

10.1016/j.cjph.2019.05.017

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6201260