General solutions to the 2D Liouville equation
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Publication:1388232
DOI10.1016/S0020-7225(96)00080-8zbMath0904.35015OpenAlexW2074964708MaRDI QIDQ1388232
Publication date: 11 June 1998
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0020-7225(96)00080-8
Nonlinear elliptic equations (35J60) Second-order nonlinear hyperbolic equations (35L70) Solutions to PDEs in closed form (35C05)
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Cites Work
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- On the isogroups of the semilinear hyperbolic equation \(u_{xt}=f(u)\) and its exact solutions for the case of the Liouville equation
- On the generalized forms of exact solutions to the Liouville equation via direct approach
- Quasilinear Dirichlet problems driven by positive sources
- Ganze Lösungen der Differentialgleichung \(\Delta u=e^u\)
- On solutions of δu=f(u)
- New similarity reductions of the Boussinesq equation
- Linearization and Painlevé property of Liouville and Cheng equations
- On certain new and exact solutions of the Emden-Fowler equation and Emden equation via invariant variational principles and group invariance
- On finite amplitude oscillations in laminar mixing layers
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