Some exact solutions for sediment transport equations

DOI10.1007/S40819-014-0013-7zbMath1320.86001OpenAlexW2150049266MaRDI QIDQ2355162

Yanyan Li

Publication date: 21 July 2015

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-014-0013-7

zbMATH Keywords

exact solutionLie group analysishyperbolic PDEssediment transportinfinitesimal transformations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) PDEs in connection with geophysics (35Q86)

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Some more invariant solutions of \((2+1)\)-water waves ⋮ Application of symmetry analysis to viscoelastic fluid model ⋮ Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model ⋮ Exact solutions and symmetry analysis of a Boussinesq type equation for longitudinal waves through a magneto-electro-elastic circular rod

Cites Work

• Symmetry groups and similarity solutions for the system of equations for a viscous compressible fluid
• Exact solutions of Euler equations of ideal gasdynamics via Lie group analysis
• Similarity methods for differential equations
• Formulations for numerically approximating hyperbolic systems governing sediment transport
• Symmetry reductions and exact solutions of the \((2+1)\)-dimensional Jaulent-Miodek equation
• Group analysis and exact solutions of a class of variable coefficient nonlinear telegraph equations
• Lie group transformations for self‐similar shocks in a gas with dust particles
• Symmetries and differential equations

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