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Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics (Q2136576)

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English	Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics	scientific article

Statements

scholarly article

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Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics (English)

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Qualitative Theory of Dynamical Systems

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publication date

11 May 2022

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zbMATH Keywords

fluid mechanics

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extended \((2+1)\)-dimensional coupled Burgers system

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auto-Bäcklund transformation

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similarity reductions

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solitons

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symbolic computation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s12346-022-00574-1

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Analytical traveling wave and soliton solutions of the \((2+1)\) dimensional generalized Burgers-Huxley equation

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Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory

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Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system

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Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system in fluid mechanics

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Double-wave solutions and Lie symmetry analysis to the \((2 + 1)\)-dimensional coupled Burgers equations

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Multiple-front solutions for the Burgers equation and the coupled Burgers equations

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Radial basis function collocation method for the numerical solution of the two-dimensional transient nonlinear coupled Burgers equations

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A Computational Meshfree Technique for the Numerical Solution of the Two-Dimensional Coupled Burgers' Equations

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Soliton Solutions and Group Analysis of a New Coupled ($2+1$)-dimensional Burgers Equations

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

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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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Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre

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Lax pair, improved \(\varGamma\)-Riccati Bäcklund transformation and soliton-like solutions to variable-coefficient higher-order nonlinear Schrödinger equation in optical fibers

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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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Parabola solitons for the nonautonomous KP equation in fluids and plasmas

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The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers' equations

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Numerical solution of coupled burgers equations in inhomogeneous form

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A fully implicit finite-difference scheme for two-dimensional Burgers' equations

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An explicit-implicit method for a class of time-dependent partial differential equations

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Generating exact solutions of the two-dimensional Burgers' equations

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Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method

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On completely integrable coupled Burgers and coupled Korteweg-de Vries systems

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On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method

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New applications of a further extended tanh method

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Multisoliton excitations for the Kadomtsev-Petviashvili equation and the coupled Burgers equation

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The residual symmetry of the (\(2 + 1\))-dimensional coupled Burgers equation

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A new coupled sub-equations expansion method and novel complexiton solutions of (2 + 1)-dimensional Burgers equation

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Multiple kink solutions and multiple singular kink solutions for the (2 + 1)-dimensional Burgers equations

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Symmetry group analysis and similarity solutions for the (2+1)‐dimensional coupled Burger's system

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Vector bright soliton interactions of the two-component AB system in a baroclinic fluid

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Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics

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Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics

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Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique

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Mixed lump-stripe, bright rogue wave-stripe, dark rogue wave-stripe and dark rogue wave solutions of a generalized Kadomtsev-Petviashvili equation in fluid mechanics

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Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions

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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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New variable separation solutions and nonlinear phenomena for the \((2+1)\)-dimensional modified Korteweg-de Vries equation

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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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Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma

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Unconventional characteristic line for the nonautonomous KP equation

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Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix

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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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Certain electromagnetic waves in a ferromagnetic film

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Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics

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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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Painlevé analysis, Bäcklund transformations and traveling-wave solutions for a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation in a fluid

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

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

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New similarity reductions of the Boussinesq equation

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Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation

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

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Bäcklund transformations, kink soliton, breather- and travelling-wave solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics

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Identifiers

zbMATH Open document ID

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10.1007/s12346-022-00574-1

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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:2136576

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