Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions (Q2694536)

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English	Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions	scientific article

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title

Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions (English)

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author

Yanyan Li

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published in

Qualitative Theory of Dynamical Systems

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publication date

3 April 2023

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zbMATH Keywords

three-field lattice system

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\(N\)-fold Darboux transformation

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conservation laws

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analytic solutions

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discrete soliton

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s12346-022-00730-7

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cites work

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Lie symmetries and dynamical behavior of soliton solutions of KP-BBM equation

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Construction of nonlinear lattice with potential symmetry for smooth propagation of discrete breather

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Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence

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Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants

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The Fermi-Pasta-Ulam-Tsingou recurrence for discrete systems: cascading mechanism and machine learning for the Ablowitz-Ladik equation

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Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours

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Stationary multi-kinks in the discrete sine-Gordon equation

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DARBOUX TRANSFORMATION AND EXPLICIT SOLUTIONS FOR A 3-FIELD INTEGRABLE LATTICE SYSTEM WITH THREE ARBITRARY CONSTANTS

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DARBOUX TRANSFORMATION OF THE MODIFIED TODA LATTICE EQUATION

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Darboux transformation of a coupled lattice soliton equation

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A Darboux transformation for the Volterra lattice equation

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Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions

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Nonlinear integrable dynamics of coupled vibrational and intra-site excitations on a regular one-dimensional lattice

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Darboux transformation and solitonic solution to the coupled complex short pulse equation

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Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation

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Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber

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\(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium

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The time fractional <i>D</i>(<i>m,n</i>) system: invariant analysis, explicit solution, conservation laws and optical soliton

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Symbolic computation on exact solutions of a coupled Kadomtsev-Petviashvili equation: Lie symmetry analysis and extended tanh method

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Oceanic shallow-water symbolic computation on a \((2+1)\)-dimensional generalized dispersive long-wave system

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Non-auto-Bäcklund transformation and novel abundant explicit exact solutions of the variable coefficients Burger equation

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Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system

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Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system

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Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system

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Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber

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Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system

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Parabola solitons for the nonautonomous KP equation in fluids and plasmas

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Unconventional characteristic line for the nonautonomous KP equation

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A generalized \((1+2)\)-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili (BKP) equation: multiple exp-function algorithm; conservation laws; similarity solutions

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On the solutions and conservation laws of a two-dimensional Korteweg de Vries model: multiple \(\exp\)-function method

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Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation

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Identifiers

DOI

10.1007/s12346-022-00730-7

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2694536