Lie group analysis for a \((2+1)\)-dimensional generalized modified dispersive water-wave system for the shallow water waves (Q6176483)

scientific article; zbMATH DE number 7717003

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English	Lie group analysis for a \((2+1)\)-dimensional generalized modified dispersive water-wave system for the shallow water waves	scientific article; zbMATH DE number 7717003

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instance of

scholarly article

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title

Lie group analysis for a \((2+1)\)-dimensional generalized modified dispersive water-wave system for the shallow water waves (English)

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Qualitative Theory of Dynamical Systems

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publication date

25 July 2023

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zbMATH Keywords

shallow water waves

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\((2+1)\)-dimensional generalized modified dispersive water-wave system

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Lie group analysis

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analytic solutions

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MaRDI profile type

MaRDI publication profile

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cites work

Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber

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Inelastic interactions and double Wronskian solutions for the Whitham–Broer–Kaup model in shallow water

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

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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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Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves

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Q3094853

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Wind-induced changes to surface gravity wave shape in shallow water

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

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2-D Shallow Water Wave Equations with Fuzzy Parameters

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Construction of KP solitons from wave patterns

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Instruction on the construction of coherent structures based on variable separation solutions of \((2+1)\)-dimensional nonlinear evolution equations in fluid mechanics

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Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain

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Rogue waves, homoclinic breather waves and soliton waves for the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation

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Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system

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Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation

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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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Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations

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Lie group method for solving generalized Hirota-Satsuma coupled Korteweg-de Vries (KdV) equations

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\(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium

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Dynamical soliton wave structures of one-dimensional Lie subalgebras via group-invariant solutions of a higher-dimensional soliton equation with various applications in ocean physics and mechatronics engineering

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Dynamics of soliton waves of group-invariant solutions through optimal system of an extended KP-like equation in higher dimensions with applications in medical sciences and mathematical physics

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Lie symmetry analysis and exact solutions of \((3+1)\) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics

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A direct algorithm of one-dimensional optimal system for the group invariant solutions

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Symmetry Reduction of the (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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Rational solutions and their interaction solutions of the (2+1)-dimensional modified dispersive water wave equation

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Symbolically computing the shallow water via a \((2+1)\)-dimensional generalized modified dispersive water-wave system: similarity reductions, scaling and hetero-Bäcklund transformations

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Symmetries and differential equations

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Group classification and conservation laws of a sixth-order thin film type equation

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Spectral problem for a two-component nonlinear Schrödinger equation in \(2 + 1\) dimensions: singular manifold method and Lie point symmetries

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Lie group analysis for a higher-order Boussinesq-Burgers system

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Q4942663

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Optimal system and exact solutions for the generalized system of 2-dimensional Burgers equations with infinite Reynolds number

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The \(\left(\frac{G^\prime}{G}\right)\)-expansion method for the nonlinear lattice equations

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A polynomial expansion method and its application in the coupled Zakharov-Kuznetsov equations

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Identifiers

zbMATH Open document ID

1521.35011

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DOI

10.1007/s12346-023-00792-1

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6176483