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Nonlocal KdV equations (Q2212976)

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Language	Label	Description	Also known as
English	Nonlocal KdV equations	scientific article

Statements

scholarly article

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Nonlocal KdV equations (English)

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Physics Letters. A

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publication date

27 November 2020

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full work available at URL

https://arxiv.org/abs/2004.07144

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zbMATH Keywords

Hirota-Satsuma system

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local and nonlocal KdV equations

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Ablowitz-Musslimani reductions

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Hirota method

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MaRDI profile type

MaRDI publication profile

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Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

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Integrable Nonlocal Nonlinear Equations

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Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy

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

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Complete integrability of nonlocal nonlinear Schrödinger equation

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Nonlocal nonlinear Schrödinger equations and their soliton solutions

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Integrable nonlocal reductions

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

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

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

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Nonlocal modified KdV equations and their soliton solutions by Hirota method

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

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

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Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation

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Rogue waves of the nonlocal Davey–Stewartson I equation

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

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Breather and lump solutions for nonlocal Davey-Stewartson II equation

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Nonlocal Fordy-Kulish equations on symmetric spaces

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The \(N\)-wave equations with \(\mathcal{PT}\) symmetry

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Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric potential

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

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On integrable wave interactions and Lax pairs on symmetric spaces

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\((2+1)\)-dimensional local and nonlocal reductions of the negative AKNS system: soliton solutions

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Nonlocal coupled HI-MKdv systems

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Nonlocal hydrodynamic type of equations

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Discrete symmetries and nonlocal reductions

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Interplay between the Inverse Scattering Method and Fokas's Unified Transform with an Application

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Transformations between Nonlocal and Local Integrable Equations

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Factorization of the 2×2 matrix recursion operator of the coupled KdV equation

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Integrable coupled KdV systems

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On construction of recursion operators from Lax representation

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The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited

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New Darboux transformation for Hirota--Satsuma coupled KdV system

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New positon, negaton and complexiton solutions for the Hirota-Satsuma coupled KdV system

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Exact Solutions of the Coupled KdV System via a Formally Variable Separation Approach

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Coupled KdV Equations of Hirota-Satsuma Type

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Addendum to: "Coupled KdV Equations of Hirota-Satsuma Type" (J. Nonlin. Math. Phys. Vol. 6, No.3 (1999), 255262)

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The generalized Harry Dym equation

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Towards the complete classification of homogeneous two-component integrable equations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.PHYSLETA.2020.126894

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Sitelinks

Mathematics(1 entry)

mardi Publication:2212976

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