A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions (Q2170860)

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English	A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions	scientific article

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A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

6 September 2022

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zbMATH Keywords

(2+1)-dimensional MDWW system

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Lie symmetry analysis

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infinitesimal generators

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optimal system

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invariant solutions

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solitons

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cnsns.2022.106786

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cites work

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Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations

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Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system

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Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber

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Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves

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Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber

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Bilinear forms through the binary Bell polynomials, <i>N</i> solitons and Bäcklund transformations of the Boussinesq–Burgers system for the shallow water waves in a lake or near an ocean beach

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Symbolic computation on a \((2+1)\)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system for the water waves

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Lie group invariance properties of radiation hydrodynamics equations and their associated similarity solutions

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Optimal system, invariance analysis of fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation using Lie symmetry approach

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Multiple soliton solutions and fusion interaction phenomena for the \((2 + 1)\)-dimensional modified dispersive water-wave system

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Nonlinear Self-Adjointness, Conservation Laws and Soliton-Cnoidal Wave Interaction Solutions of (2+1)-Dimensional Modified Dispersive Water-Wave System

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Consistent Riccati expansion for finding interaction solutions of (2+1)‐dimensional modified dispersive water‐wave system

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Comment on ``Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized \((2+1)\)-dimensional dispersive long-wave system''

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LOCALIZED EXCITATIONS WITH AND WITHOUT PROPAGATING PROPERTIES IN <font>(2+1)</font>-DIMENSIONS VIA A REDUCTION APPROACH

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Identifiers

zbMATH Open document ID

1504.35379

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Mathematics Subject Classification ID

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10.1016/J.CNSNS.2022.106786

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Sitelinks

Mathematics(1 entry)

mardi Publication:2170860