In plasma physics and fluid dynamics: symbolic computation on a \((2+1)\)-dimensional variable-coefficient Sawada-Kotera system (Q6620432)

scientific article; zbMATH DE number 7927815

Language	Label	Description	Also known as
English	In plasma physics and fluid dynamics: symbolic computation on a \((2+1)\)-dimensional variable-coefficient Sawada-Kotera system	scientific article; zbMATH DE number 7927815

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instance of

scholarly article

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title

In plasma physics and fluid dynamics: symbolic computation on a \((2+1)\)-dimensional variable-coefficient Sawada-Kotera system (English)

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author

Xin-Yi Gao

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published in

Applied Mathematics Letters

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publication date

16 October 2024

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zbMATH Keywords

plasma physics

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fluid dynamics

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\((2+1)\)-dimensional variable-coefficient Sawada-Kotera system

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similarity reduction

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symbolic computation

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MaRDI profile type

Publication

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cites work

Stability analysis and soliton solutions of the (1+1)-dimensional nonlinear chiral Schrödinger equation in nuclear physics

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Nonlinear localized waves and their interactions for a \((2+1)\)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid

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Lump and hybrid solutions for a (3+1)-dimensional Boussinesq-type equation for the gravity waves over a water surface

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In the shallow water: auto-Bäcklund, hetero-Bäcklund and scaling transformations via a (2+1)-dimensional generalized Broer-Kaup system

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On a variable-coefficient AB system in a baroclinic flow: generalized Darboux transformation and non-autonomous localized waves

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Bilinear form, bilinear Bäcklund transformations, breather and periodic-wave solutions for a \((2+1)\)-dimensional shallow water equation with the time-dependent coefficients

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Extended Lie method for mixed fractional derivatives, unconventional invariants and reduction, conservation laws and acoustic waves propagated via nonlinear dispersive equation

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Well-posedness for an hyperbolic-hyperbolic-elliptic system describing cold plasmas

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Lie symmetry analysis, optimal system, symmetry reductions and analytic solutions for a \((2+1)\)-dimensional generalized nonlinear evolution system in a fluid or a plasma

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Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber

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Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice

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Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in its

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Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations

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Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation

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Auto-Bäcklund transformation with the solitons and similarity reductions for a generalized nonlinear shallow water wave equation

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For the shallow water waves: bilinear-form and similarity-reduction studies on a Boussinesq-Burgers system

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Handbook of Differential Equations

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AML.2024.109262

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Sitelinks

Mathematics(1 entry)

mardi Publication:6620432