Dynamics of solitons and breathers on a periodic waves background in the nonlocal Mel'nikov equation (Q6168848)

scientific article; zbMATH DE number 7724661

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English	Dynamics of solitons and breathers on a periodic waves background in the nonlocal Mel'nikov equation	scientific article; zbMATH DE number 7724661

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title

Dynamics of solitons and breathers on a periodic waves background in the nonlocal Mel'nikov equation (English)

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9 August 2023

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zbMATH Keywords

nonlocal Mel'nikov equation

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soliton solution

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breather solution

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periodic line waves background

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KP hierarchy reduction method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11071-020-05623-5

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Nonlinear Waves in Integrable and Nonintegrable Systems

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Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

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𝓟𝓣-symmetric quantum mechanics

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Integrable Nonlocal Nonlinear Equations

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Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

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Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions

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Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions

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Inverse scattering transform for the nonlocal reverse space-time nonlinear Schrödinger equation

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Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

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Peregrine rogue wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity

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General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations

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Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants

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Nonlocal nonlinear Schrödinger equations and their soliton solutions

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Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations

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Solutions of the nonlocal nonlinear Schrödinger hierarchy via reduction

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General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

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\(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background

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Transformations between Nonlocal and Local Integrable Equations

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Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy

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Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model

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Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation

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On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions

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Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform

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Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations

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Rogue waves of the nonlocal Davey–Stewartson I equation

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

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Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation

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Nonlocal Fordy-Kulish equations on symmetric spaces

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Several reverse-time integrable nonlocal nonlinear equations: Rogue-wave solutions

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General soliton solutions to a nonlocal long-wave-short-wave resonance interaction equation with nonzero boundary condition

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Families of rational solutions of the \(y\)-nonlocal Davey-Stewartson II equation

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Semi-rational solutions for the \((2 + 1)\)-dimensional nonlocal Fokas system

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Bright and dark soliton solutions to the partial reverse space-time nonlocal Mel'nikov equation

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Darboux Transformations and Global Explicit Solutions for Nonlocal Davey–Stewartson I Equation

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Dynamics of rogue waves in the partially \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson systems

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On equations for wave interactions

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Reflection of waves in nonlinear integrable systems

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A direct method for deriving a multi-soliton solution for the problem of interaction of waves on the x,y plane

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Exponentially localized solutions of Mel'nikov equation

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Two spatial dimensional N-rogue waves and their dynamics in Mel'nikov equation

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Interaction of lumps and dark solitons in the Mel'nikov equation

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Q4745022

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Solitons and infinite dimensional Lie algebras

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Method for Generating Discrete Soliton Equation. III

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General N-Dark-Dark Solitons in the Coupled Nonlinear Schrödinger Equations

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General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation

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Q4828547

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Identifiers

zbMATH Open document ID

1516.35383

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DOI

10.1007/s11071-020-05623-5

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6168848