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GEOMETRIC SYMMETRY TECHNIQUES FOR PARTIAL DIFFERENTIAL EQUATIONS
Part of:
General higher-order equations and systems
Partial differential equations on manifolds; differential operators
Parabolic equations and systems
Partial differential equations
Equations of mathematical physics and other areas of application
General theory of differentiable manifolds
Published online by Cambridge University Press: 11 December 2015
Abstract
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Keywords
MSC classification
Secondary:
58A17: Pfaffian systems
58A15: Exterior differential systems (Cartan theory)
58A10: Differential forms
58A20: Jets
58A30: Vector distributions (subbundles of the tangent bundles)
58J72: Correspondences and other transformation methods (e.g. Lie-Bäcklund)
35G20: Nonlinear higher-order equations
35K25: Higher-order parabolic equations
35K59: Quasilinear parabolic equations
35Q53: KdV-like equations (Korteweg-de Vries)
- Type
- Abstracts of Australasian PhD Theses
- Information
- Copyright
- © 2015 Australian Mathematical Publishing Association Inc.
References
Prince, G. and Tehseen, N., ‘Evolution equations: Frobenius integrability, conservation laws and travelling waves’, J. Phys. A 48(40) (2015), 405205–405213.CrossRefGoogle Scholar
Tehseen, N., ‘Explicit solutions of PDE via Vessiot theory and solvable structures’, J. Phys. A 47(31) (2014), 315207–315225.CrossRefGoogle Scholar
Tehseen, N. and Broadbridge, P., ‘Fourth order diffusion equations with increasing entropy’, Entropy 14(7) (2012), 1127–1139.CrossRefGoogle Scholar
Tehseen, N. and Prince, G., ‘Integration of PDEs by differential geometric means’, J. Phys. A 46(10) (2013), 105201–105220.Google Scholar
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