The unified transformation approach to higher-order Gerdjikov-Ivanov model and Riemann-Hilbert problem (Q6614378)

scientific article; zbMATH DE number 7922171

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English	The unified transformation approach to higher-order Gerdjikov-Ivanov model and Riemann-Hilbert problem	scientific article; zbMATH DE number 7922171

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scholarly article

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title

The unified transformation approach to higher-order Gerdjikov-Ivanov model and Riemann-Hilbert problem (English)

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Journal of Mathematical Analysis and Applications

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publication date

7 October 2024

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zbMATH Keywords

unified transformation approach

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higher-order Gerdjikov-Ivanov model

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Volterra integral equation

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Riemann-Hilbert problem

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MaRDI profile type

Publication

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cites work

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A Riemann–Hilbert approach for the Degasperis–Procesi equation

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The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves

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Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure

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A unified transform method for solving linear and certain nonlinear PDEs

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The nonlinear Schrödinger equation on the half-line

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Method for Solving the Korteweg-deVries Equation

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Initial-Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half-Line

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Q3672402

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Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line

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On the Riemann-Hilbert problem of the Kundu equation

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On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a $4 \times 4$ matrix Lax pair

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On the Riemann–Hilbert problem of the matrix Lakshmanan–Porsezian–Daniel system with a $$4\times4$$ AKNS-type matrix Lax pair

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The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a $4\times 4$ matrix Lax pair

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The initial-boundary-value problems for the Hirota equation on the half-line

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The derivative nonlinear Schrödinger equation on the half-line

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Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole

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Initial-boundary value problems for integrable evolution equations with $3\times 3$ Lax pairs

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Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov-Ivanov equation

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Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions

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The Asymptotic Behavior of the Solution of Boundary Value Problems for the sine-Gordon Equation on a Finite Interval

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Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method

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The generalized Dirichlet to Neumann map for the KdV equation on the half-line

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Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov-Ivanov equations

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Initial-boundary value problems associated with the Ablowitz-Ladik system

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A Riemann-Hilbert approach to the initial-boundary problem for derivative nonlinear Schrödinger equation

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An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval

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Binary Darboux transformation for the Gerdjikov-Ivanov equation

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Higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation: asymptotic analysis and emergence of rogue waves

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Dynamic behaviors of vector breather waves and higher-order rogue waves in the coupled Gerdjikov-Ivanov equation

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$N$-soliton solutions to the multi-component nonlocal Gerdjikov-Ivanov equation via Riemann-Hilbert problem with zero boundary conditions

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Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: $N$ simple poles and one higher-order pole

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Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background

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High-order Soliton Matrix for the Third-order Flow Equation of the Gerdjikov-Ivanov Hierarchy Through the Riemann-Hilbert Method

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The Riemann-Hilbert approach for the higher-order Gerdjikov-Ivanov equation, soliton interactions and position shift

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Identifiers

DOI

10.1016/j.jmaa.2024.128681

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6614378