How to build up variable transformations allowing one to map nonlinear hyperbolic equations into autonomous or linear ones
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Publication:3127478
DOI10.1080/00411459608220703zbMath0871.35004OpenAlexW1963588087MaRDI QIDQ3127478
Francesco Olivieri, Andrea Donato
Publication date: 24 September 1997
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00411459608220703
First-order nonlinear hyperbolic equations (35L60) Transform methods (e.g., integral transforms) applied to PDEs (35A22)
Related Items (16)
A consistent approach to approximate Lie symmetries of differential equations ⋮ On the decoupling problem of general quasilinear first order systems in two independent variables ⋮ Lie group analysis and Riemann problems for a \(2\times 2\) system of balance laws ⋮ Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones ⋮ Equivalence transformations of quasilinear first order systems and reduction to autonomous and homogeneous form ⋮ Reduction of balance laws in \((3+1)\)-dimensions to autonomous conservation laws by means of equivalence transformations ⋮ Construction of autonomous conservation laws ⋮ Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model ⋮ Unsteady solutions of Euler equations generated by steady solutions ⋮ Asymptotic waves for fast granular flows. ⋮ Reduction of balance laws to conservation laws by means of equivalence transformations ⋮ Nonlinear first order PDEs reducible to autonomous form polynomially homogeneous in the derivatives ⋮ On wave propagation in porous media with strain gradient effects ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation ⋮ Symmetry groups and similarity solutions for the system of equations for a viscous compressible fluid ⋮ Reduction of nonhomogeneous quasilinear 2×2 systems to homogeneous and autonomous form
Uses Software
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