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Bilinear-form and similarity-reduction visit to a variable-coefficient generalized dispersive water-wave system concerning Acta Mech. 233, 2527 and 233, 2415 - MaRDI portal

Bilinear-form and similarity-reduction visit to a variable-coefficient generalized dispersive water-wave system concerning Acta Mech. 233, 2527 and 233, 2415 (Q6576390)

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scientific article; zbMATH DE number 7884737

Language	Label	Description	Also known as
English	Bilinear-form and similarity-reduction visit to a variable-coefficient generalized dispersive water-wave system concerning Acta Mech. 233, 2527 and 233, 2415	scientific article; zbMATH DE number 7884737

Statements

scholarly article

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Bilinear-form and similarity-reduction visit to a variable-coefficient generalized dispersive water-wave system concerning Acta Mech. 233, 2527 and 233, 2415 (English)

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publication date

22 July 2024

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zbMATH Keywords

dispersive water-wave system

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MaRDI profile type

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Heat traveling waves in rigid thermal conductors with phase lag and stability analysis

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Circular undular hydraulic jumps in turbulent free-surface flows

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

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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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Soliton interactions, Bäcklund transformations, Lax pair for a variable-coefficient generalized dispersive water-wave system

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Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system

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Exponential polynomials.

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On a direct bilinearization method: Kaup's higher-order water wave equation as a modified nonlocal Boussinesq equation

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On a direct procedure for the disclosure of Lax pairs and Bäcklund transformations

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lifex-cfd: an open-source computational fluid dynamics solver for cardiovascular applications

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Theoretical investigations on a variable-coefficient generalized forced-perturbed Korteweg-de Vries-Burgers model for a dilated artery, blood vessel or circulatory system with experimental support

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

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Similarity reductions on a \((2+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system describing certain electromagnetic waves in a thin film

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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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Explainable AI insights for symbolic computation: a case study on selecting the variable ordering for cylindrical algebraic decomposition

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

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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 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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Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system

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In oceanography, acoustics and hydrodynamics: investigations on an extended coupled (2+1)-dimensional Burgers system

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New similarity reductions of the Boussinesq equation

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Two-layer-liquid and lattice considerations through a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system

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Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system

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Considering the wave processes in oceanography, acoustics and hydrodynamics by means of an extended coupled (2+1)-dimensional Burgers system

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Handbook of Differential Equations

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Symbolic computation on a (2+1)-dimensional generalized nonlinear evolution system in fluid dynamics, plasma physics, nonlinear optics and quantum mechanics

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Identifiers

zbMATH Open document ID

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10.1007/s00707-024-03948-5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6576390

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