Exact solutions to Euler equation and Navier-Stokes equation
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Publication:666621
DOI10.1007/s00033-019-1088-0zbMath1412.35243OpenAlexW2913175532MaRDI QIDQ666621
Mingshuo Liu, Xin-Yue Li, Qiu-Lan Zhao
Publication date: 6 March 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-019-1088-0
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Soliton equations (35Q51) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Soliton solutions (35C08) Euler equations (35Q31)
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Cites Work
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- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Existence of weak solutions for the incompressible Euler equations
- Exact solutions for the generalized KdV equation by using Bäcklund transformations
- A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations
- Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation
- Exact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equation
- On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
- A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation
- Lie symmetry analysis and exact explicit solutions for general Burgers' equation
- A new note on a homogeneous balance method
- Residual symmetries, \(n\)th Bäcklund transformation and interaction solutions for (2+1)-dimensional generalized Broer-Kaup equations
- Mixed lump-kink solutions to the KP equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Classification and bifurcation of a class of second-order ODEs and its application to nonlinear PDEs
- Mixed lump-kink solutions to the BKP equation
- Analytical research of (\(3+1\))-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach
- Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation
- Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- Nonlocal symmetries and explicit solutions of the AKNS system
- Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
- Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions
- Two integrable lattice hierarchies and their respective Darboux transformations
- Bäcklund transformations, solitary waves, conoid waves and Bessel waves of the \((2+1)\)-dimensional Euler equation
- On existence and uniqueness of classical solutions to Euler equations in a rotating cylinder
- On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition
- Symmetry analysis and exact solutions of the 2+1 dimensional sine-Gordon system
- Vorticity and Incompressible Flow
- A new integrable symplectic map and the lie point symmetry associated with nonlinear lattice equations
- N-SOLITON-LIKE SOLUTIONS AND BÄCKLUND TRANSFORMATIONS FOR A NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT MODIFIED KORTEWEG-DE VRIES EQUATION
- Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity
- On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation
- The time-fractional mZK equation for gravity solitary waves and solutions using sech-tanh and radial basis function method
- Solitons, Bäcklund transformation, and Lax pair for the (2+1)-dimensional Boiti–Leon–Pempinelli equation for the water waves
- CRE Solvability, Nonlocal Symmetry and Exact Interaction Solutions of the Fifth-Order Modified Korteweg-de Vries Equation
- Well-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit
- Lie symmetry analysis of the quantum Zakharov equations
- EXACT SOLUTIONS FOR A DIRAC-TYPE EQUATION WITH N-FOLD DARBOUX TRANSFORMATION
- On the well-posedness of 2-D incompressible Navier-Stokes equations with variable viscosity in critical spaces
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