Analytic rogue wave solutions for a generalized fourth‐order Boussinesq equation in fluid mechanics (Q4626730)

scientific article; zbMATH DE number 7030997

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English	Analytic rogue wave solutions for a generalized fourth‐order Boussinesq equation in fluid mechanics	scientific article; zbMATH DE number 7030997

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instance of

scholarly article

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title

Analytic rogue wave solutions for a generalized fourth‐order Boussinesq equation in fluid mechanics (English)

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published in

Mathematical Methods in the Applied Sciences

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publication date

28 February 2019

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zbMATH Keywords

bilinear transformation method

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generalized fourth-order Boussinesq equation

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parameter control

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polynomial function

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rogue wave solutions

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.5320

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cites work

Long waves on a beach

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New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations

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Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves

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Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters

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Solitons, Bäcklund transformation and Lax pair for a variable-coefficient generalized Boussinesq system in the shallow water

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Waves that appear from nowhere and disappear without a trace

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Darboux transformation and Rogue waves of the Kundu-nonlinear Schrödinger equation

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Then-order rogue waves of Fokas-Lenells equation

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Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics

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Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations

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Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation

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Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

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Mixed lump-kink solutions to the BKP equation

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Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation

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Multiple-lump waves for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation arising from incompressible fluid

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Modulation instability and rogue wave structures of positron-acoustic waves in \(q\)-nonextensive plasmas

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Ion-acoustic rogue waves in magnetized solar wind plasma with nonextensive electrons

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Higher-order rogue wave-like solutions for a nonautonomous nonlinear Schrödinger equation with external potentials

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

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The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

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Wave solutions for variants of the KdV–Burger and the K(n,n)–Burger equations by the generalized G′/G‐expansion method

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A direct method for constructing the traveling wave solutions of a modified generalized Vakhnenko equation

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\(N\)-dimensional auto-Bäcklund transformation and exact solutions to \(n\)-dimensional Burgers system

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A improved F-expansion method and its application to Kudryashov-Sinelshchikov equation

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A series of the solutions for the Heisenberg ferromagnetic spin chain equation

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Ion acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equation in quantum plasma

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Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation

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Identifiers

zbMATH Open document ID

1409.76015

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4626730