Classes of solution for a system of one-dimensional motion of a gas

DOI10.1016/S0096-3003(02)00301-6zbMath1026.76041OpenAlexW2044338381MaRDI QIDQ1399736

A. M. Kawala, Hassan A. Zedan

Publication date: 30 July 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00301-6

zbMATH Keywords

exact solutionscylindrical symmetryLie group analysisplane symmetryabsorption coefficientmonocromatic radiationone-dimensional gas motion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Waves and radiation in optics and electromagnetic theory (78A40) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items

Comparison study for numerical solution and travelling wave solution for Ito coupled system, Numerical solutions for Ito coupled system

Uses Software

• MACSYMA

Cites Work

• Unnamed Item
• Unnamed Item
• A family of exact solutions of the equations of the one-dimensional motion of a gas under the influence of monochromatic radiation
• Group classification and symmetry reductions of the nonlinear diffusion- convection equation \(u_ t=(D(u)u_ x)_ x-K'(u)u_ x\)
• Group classification of a heterogeneous Schrödinger equation
• Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions
• Nonlinear boundary value problems in science and engineering
• Symmetries and differential equations