Characteristics of abundant lumps and interaction solutions in the (4+1)-dimensional nonlinear partial differential equation (Q2019854)

scientific article; zbMATH DE number 7336597

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English	Characteristics of abundant lumps and interaction solutions in the (4+1)-dimensional nonlinear partial differential equation	scientific article; zbMATH DE number 7336597

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instance of

scholarly article

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title

Characteristics of abundant lumps and interaction solutions in the (4+1)-dimensional nonlinear partial differential equation (English)

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International Journal of Nonlinear Sciences and Numerical Simulation

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publication date

22 April 2021

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zbMATH Keywords

(4+1)-dimensional Fokas equation

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rogue wave (RW)

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lump solutions

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interaction phenomena

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1515/ijnsns-2018-0380

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cites work

Symmetries and differential equations

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Q3995225

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Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations

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Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation

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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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\((2+1)\)-dimensional Burgers equations \(\mathrm{BE}(m+n+1)\): using the recursion operator

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Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations

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New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation

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Linear superposition principle applying to Hirota bilinear equations

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EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS

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Dynamics of kinky wave for \((3+1)\)-dimensional potential Yu-Toda-Sasa-Fukuyama equation

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Vector financial rogue waves

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Waves that appear from nowhere and disappear without a trace

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Water waves, nonlinear Schrödinger equations and their solutions

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Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

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Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation

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Solutions to the Time Dependent Schrödinger and the Kadomtsev-Petviashvili Equations

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Persistence of rogue waves in extended nonlinear Schrödinger equations: integrable Sasa-Satsuma case

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Families of quasi-rational solutions of the NLS equation and multi-rogue waves

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Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation

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Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation

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Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation

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On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water

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Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation

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Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation

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Symmetry analysis and reductions of the two-dimensional generalized Benney system via geometric approach

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The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation

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New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients

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Rogue wave for the (\(2 + 1\))-dimensional Kadomtsev-Petviashvili equation

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Integrable Nonlinear Evolution Partial Differential Equations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>4</mml:mn><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>Dimensions

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EXACT TRAVELING WAVE SOLUTIONS OF A HIGHER-DIMENSIONAL NONLINEAR EVOLUTION EQUATION

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Symmetry Groups and Exact Solutions of New (4+1)-Dimensional Fokas Equation

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Parameter limit method and its application in the (4+1)-dimensional Fokas equation

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Exact solutions for \((4 + 1)\)-dimensional nonlinear Fokas equation using extended \(F\)-expansion method and its variant

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On quasi-periodic waves and rogue waves to the (4+1)-dimensional nonlinear Fokas equation

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Identifiers

Mathematics Subject Classification ID

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10.1515/IJNSNS-2018-0380

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Sitelinks

Mathematics(1 entry)

mardi Publication:2019854