Soliton and breather solutions of the higher-order modified Korteweg-de Vries equation with constants background (Q6102495)

scientific article; zbMATH DE number 7683379

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English	Soliton and breather solutions of the higher-order modified Korteweg-de Vries equation with constants background	scientific article; zbMATH DE number 7683379

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instance of

scholarly article

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title

Soliton and breather solutions of the higher-order modified Korteweg-de Vries equation with constants background (English)

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ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

8 May 2023

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zbMATH Keywords

higher-order modified Korteweg-de Vries equation

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constants boundary conditions

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Riemann-Hilbert method

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soliton solution

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breather solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00033-023-01946-6

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cites work

Integrals of nonlinear equations of evolution and solitary waves

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<b><i>N</i></b>-soliton solutions to a -dimensional integrable equation

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Painlevé-type asymptotics of an extended modified KdV equation in transition regions

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Q4828547

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Q4002235

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The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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Q3732103

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Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions

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Inverse scattering transformation for generalized nonlinear Schrödinger equation

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Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies

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Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions

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Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions

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Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions

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Soliton and breather solutions for a fifth-order modified KdV equation with a nonzero background

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Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach

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The three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions

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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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The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles

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Riemann–Hilbert problem and interactions of solitons in the ‐component nonlinear Schrödinger equations

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Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation

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Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions

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Inverse Scattering Transformation for the Fokas–Lenells Equation with Nonzero Boundary Conditions

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Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability

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Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces

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An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders

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The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

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Partial differential equations and solitary waves theory

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Periodic travelling waves and rogue waves for the higher-order modified Korteweg-de Vries equation

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Long-time asymptotics for the focusing nonlinear Schrödinger equation with nonzero boundary conditions in the presence of a discrete spectrum

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A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

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On the Long-Time Asymptotic Behavior of the Modified Korteweg--de Vries Equation with Step-like Initial Data

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Identifiers

zbMATH Open document ID

1514.35302

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DOI

10.1007/s00033-023-01946-6

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6102495