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Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation - MaRDI portal

Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation (Q2297045)

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English	Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation	scientific article

Statements

scholarly article

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Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation (English)

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Nonlinear Dynamics

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publication date

18 February 2020

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zbMATH Keywords

rational solutions

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semi-rational solutions

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Konopelchenko-Dubrovsky equation

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modified Kadomtsev-Petviashvili equation

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reduction method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11071-019-05166-4

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A Nonlinear Difference Scheme and Inverse Scattering

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Nonlinear differential–difference equations and Fourier analysis

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The Propagation of Nonlinear Wave Envelopes

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Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems

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Constraints of the 2+1 dimensional integrable soliton systems

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Darboux transformations via Painlevé analysis

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General<i>N</i>-soliton solution to a vector nonlinear Schrödinger equation

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

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Darboux transformations in integrable systems. Theory and their applications to geometry

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SOLITON RESONANCES FOR THE MODIFIED KADOMTSEV–PETVIASHVILI EQUATIONS IN UNIFORM AND NON-UNIFORM MEDIA

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Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation

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Solitons and infinite dimensional Lie algebras

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Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory

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General soliton solutions to a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

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Lump waves, solitary waves and interaction phenomena to the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equation

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Obliquely interacting solitary waves

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Resonantly interacting solitary waves

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Two spatial dimensional N-rogue waves and their dynamics in Mel'nikov equation

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General N-Dark-Dark Solitons in the Coupled Nonlinear Schrödinger Equations

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General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation

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Dynamics of rogue waves in the Davey–Stewartson II equation

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General rogue waves in the focusing and defocusing Ablowitz–Ladik equations

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Semi-rational solutions of the third-type Davey-Stewartson equation

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The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions

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Construction of \(N\)-soliton solutions to (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equations

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From the Real and Complex Coupled Dispersionless Equations to the Real and Complex Short Pulse Equations

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General soliton solutions to a nonlocal long-wave-short-wave resonance interaction equation with nonzero boundary condition

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Interaction of lumps and dark solitons in the Mel'nikov equation

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Modified Kadomtsev-Petviashvili (MKP) equation and electromagnetic soliton

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Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients

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A coupled “<i>AB</i>” system: Rogue waves and modulation instabilities

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Exactly fractional solutions of the \((2+1)\)-dimensional modified KP equation via some fractional transformations

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Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation

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Bright and dark soliton solutions to the AB system and its multi-component generalization

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Interactions Between Solitons and Cnoidal Periodic Waves of the (2+1)-Dimensional Konopelchenko—Dubrovsky Equation

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Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations

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Vertex dynamics in multi-soliton solutions of Kadomtsev–Petviashvili II equation

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Solitary wave solutions for the modified Kadomtsev-Petviashvili equation

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Bäcklund transformations, rational solutions and soliton-cnoidal wave solutions of the modified Kadomtsev-Petviashvili equation

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Lie symmetry analysis, Bäcklund transformations, and exact solutions of a (2 + 1)-dimensional Boiti-Leon-Pempinelli system

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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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10.1007/S11071-019-05166-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:2297045

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