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The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations - MaRDI portal

The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations (Q5154289)

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scientific article; zbMATH DE number 7406104

Language	Label	Description	Also known as
English	The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations	scientific article; zbMATH DE number 7406104

Statements

scholarly article

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The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations (English)

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Journal of Mathematical Physics

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publication date

4 October 2021

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zbMATH Keywords

Hirota equations

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soliton solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/5.0046806

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A General Theory for Interactions Between Short and Long Waves

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Exact envelope-soliton solutions of a nonlinear wave equation

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Dark soliton solutions of the coupled Hirota equation in nonlinear fiber

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Riemann-Hilbert Approach and N-Soliton Solutions For Three-Component Coupled Hirota Equations

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Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations

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Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system

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A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I

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Long-time asymptotic behavior of a mixed Schrödinger equation with weighted Sobolev initial data

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The ∂̄-dressing method and the solutions with constant asymptotic values at infinity of DS-II equation

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The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates

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Solutions to the Kaup-Broer system and its \((2+1)\) dimensional integrable generalization via the dressing method

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Forced (2 + 1)-dimensional discrete three-wave equation

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\( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation

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New solutions to the differential-difference KP equation

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A hierarchy of nonlocal nonlinear evolution equations and \(\overline{\partial} \)-dressing method

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Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II

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On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation

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The D-bar approach to inverse scattering and nonlinear evolutions

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Linear spectral problems, non-linear equations and the δ-method

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The dressing method and nonlocal Riemann-Hilbert problems

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The Boussinesq equation revisited

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Noncommutative Extension of \bar∂-Dressing Method

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Correction to: ``On solutions to the nonlocal \(\overline{\partial}\)-problem and (2+1) dimensional completely integrable systems''

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A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions

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Identifiers

zbMATH Open document ID

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10.1063/5.0046806

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5154289

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