Differential invariants for quasi-linear and semi-linear wave-type equations
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Publication:941495
DOI10.1016/j.amc.2008.01.033zbMath1154.53012OpenAlexW1992992229MaRDI QIDQ941495
Christodoulos Sophocleous, Rita Tracinà
Publication date: 1 September 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.033
Wave equation (35L05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Differential invariants (local theory), geometric objects (53A55)
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Cites Work
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- Linearization of third-order ordinary differential equations by point and contact transformations
- Differential invariants of the one-dimensional quasi-linear second-order evolution equation
- Differential invariants of nonlinear equations \(v_{tt}=f(x,v_{x})v_{xx}+g(x,v_{x})\).
- Invariants of a family of nonlinear wave equations.
- An analogue of the Moutard transformation for the Goursat equation \(\vartheta_{xy}=2\sqrt{\lambda(x,y)\vartheta_x\vartheta_y}\)
- Laplace type invariants for parabolic equations
- Invariants of a remarkable family of nonlinear equations
- On the linearization of semilinear wave equations
- Singular invariant equation for the (1+1) Fokker–Planck equation
- Exactly integrable hyperbolic equations of Liouville type
- The sine-Gordon equations: Complete and partial integrability
- On invariance properties of the wave equation
- Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)
- Second-order differential invariants of a family of diffusion equations
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